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Finding the Third Proportional to 590,326,119 and 1,291,856,733

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Solution

The third proportional to 590,326,119 and 1,291,856,733 is: 2,827,070,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,326,119 : 1,291,856,733 = 1,291,856,733 : x
  2. Step 2: Convert to fraction form
    590,326,119/1,291,856,733 = 1,291,856,733/x
  3. Step 3: Cross multiply
    590,326,119x = 1,291,856,733 × 1,291,856,733
  4. Step 4: Simplify right side
    590,326,119x = 1,668,893,818,597,433,344
  5. Step 5: Solve for x
    x = 1,668,893,818,597,433,344/590,326,119
  6. Step 6: Final answer
    x = 2,827,070,944.15

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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.