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Finding the Third Proportional to 758,754,924 and 1,138,132,384

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Solution

The third proportional to 758,754,924 and 1,138,132,384 is: 1,707,198,573

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,754,924 : 1,138,132,384 = 1,138,132,384 : x
  2. Step 2: Convert to fraction form
    758,754,924/1,138,132,384 = 1,138,132,384/x
  3. Step 3: Cross multiply
    758,754,924x = 1,138,132,384 × 1,138,132,384
  4. Step 4: Simplify right side
    758,754,924x = 1,295,345,323,509,523,456
  5. Step 5: Solve for x
    x = 1,295,345,323,509,523,456/758,754,924
  6. Step 6: Final answer
    x = 1,707,198,573

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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.