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Finding the Third Proportional to 792,847,407 and 1,188,720,894

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Solution

The third proportional to 792,847,407 and 1,188,720,894 is: 1,782,256,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,847,407 : 1,188,720,894 = 1,188,720,894 : x
  2. Step 2: Convert to fraction form
    792,847,407/1,188,720,894 = 1,188,720,894/x
  3. Step 3: Cross multiply
    792,847,407x = 1,188,720,894 × 1,188,720,894
  4. Step 4: Simplify right side
    792,847,407x = 1,413,057,363,832,159,232
  5. Step 5: Solve for x
    x = 1,413,057,363,832,159,232/792,847,407
  6. Step 6: Final answer
    x = 1,782,256,398.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.