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Finding the Third Proportional to 590,326,087.88 and 1,291,856,670.75

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Solution

The third proportional to 590,326,087.88 and 1,291,856,670.75 is: 2,827,070,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,326,087.88 : 1,291,856,670.75 = 1,291,856,670.75 : x
  2. Step 2: Convert to fraction form
    590,326,087.88/1,291,856,670.75 = 1,291,856,670.75/x
  3. Step 3: Cross multiply
    590,326,087.88x = 1,291,856,670.75 × 1,291,856,670.75
  4. Step 4: Simplify right side
    590,326,087.88x = 1,668,893,657,761,273,856
  5. Step 5: Solve for x
    x = 1,668,893,657,761,273,856/590,326,087.88
  6. Step 6: Final answer
    x = 2,827,070,820.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.