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Finding the Third Proportional to 403,675,052 and 883,772,584

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Solution

The third proportional to 403,675,052 and 883,772,584 is: 1,934,858,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,675,052 : 883,772,584 = 883,772,584 : x
  2. Step 2: Convert to fraction form
    403,675,052/883,772,584 = 883,772,584/x
  3. Step 3: Cross multiply
    403,675,052x = 883,772,584 × 883,772,584
  4. Step 4: Simplify right side
    403,675,052x = 781,053,980,230,036,992
  5. Step 5: Solve for x
    x = 781,053,980,230,036,992/403,675,052
  6. Step 6: Final answer
    x = 1,934,858,189.43

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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.