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Finding the Third Proportional to 518,266,920 and 794,722,560

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Solution

The third proportional to 518,266,920 and 794,722,560 is: 1,218,646,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,266,920 : 794,722,560 = 794,722,560 : x
  2. Step 2: Convert to fraction form
    518,266,920/794,722,560 = 794,722,560/x
  3. Step 3: Cross multiply
    518,266,920x = 794,722,560 × 794,722,560
  4. Step 4: Simplify right side
    518,266,920x = 631,583,947,372,953,600
  5. Step 5: Solve for x
    x = 631,583,947,372,953,600/518,266,920
  6. Step 6: Final answer
    x = 1,218,646,074.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.