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Finding the Third Proportional to 585,299,706 and 797,214,024

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Solution

The third proportional to 585,299,706 and 797,214,024 is: 1,085,854,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,299,706 : 797,214,024 = 797,214,024 : x
  2. Step 2: Convert to fraction form
    585,299,706/797,214,024 = 797,214,024/x
  3. Step 3: Cross multiply
    585,299,706x = 797,214,024 × 797,214,024
  4. Step 4: Simplify right side
    585,299,706x = 635,550,200,062,272,512
  5. Step 5: Solve for x
    x = 635,550,200,062,272,512/585,299,706
  6. Step 6: Final answer
    x = 1,085,854,295.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.