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Finding the Third Proportional to 585,299,702 and 797,214,018

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Solution

The third proportional to 585,299,702 and 797,214,018 is: 1,085,854,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,299,702 : 797,214,018 = 797,214,018 : x
  2. Step 2: Convert to fraction form
    585,299,702/797,214,018 = 797,214,018/x
  3. Step 3: Cross multiply
    585,299,702x = 797,214,018 × 797,214,018
  4. Step 4: Simplify right side
    585,299,702x = 635,550,190,495,704,320
  5. Step 5: Solve for x
    x = 635,550,190,495,704,320/585,299,702
  6. Step 6: Final answer
    x = 1,085,854,286.83

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Why These Related Problems?

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