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Finding the Third Proportional to 499,131,788 and 1,077,181,480

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Solution

The third proportional to 499,131,788 and 1,077,181,480 is: 2,324,676,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,131,788 : 1,077,181,480 = 1,077,181,480 : x
  2. Step 2: Convert to fraction form
    499,131,788/1,077,181,480 = 1,077,181,480/x
  3. Step 3: Cross multiply
    499,131,788x = 1,077,181,480 × 1,077,181,480
  4. Step 4: Simplify right side
    499,131,788x = 1,160,319,940,854,990,336
  5. Step 5: Solve for x
    x = 1,160,319,940,854,990,336/499,131,788
  6. Step 6: Final answer
    x = 2,324,676,505.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.