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Finding the Third Proportional to 822,987,540 and 1,253,775,384

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Solution

The third proportional to 822,987,540 and 1,253,775,384 is: 1,910,056,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,987,540 : 1,253,775,384 = 1,253,775,384 : x
  2. Step 2: Convert to fraction form
    822,987,540/1,253,775,384 = 1,253,775,384/x
  3. Step 3: Cross multiply
    822,987,540x = 1,253,775,384 × 1,253,775,384
  4. Step 4: Simplify right side
    822,987,540x = 1,571,952,713,524,347,392
  5. Step 5: Solve for x
    x = 1,571,952,713,524,347,392/822,987,540
  6. Step 6: Final answer
    x = 1,910,056,516.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.