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Finding the Third Proportional to 3,217,854 and 4,721,589

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Solution

The third proportional to 3,217,854 and 4,721,589 is: 6,928,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217,854 : 4,721,589 = 4,721,589 : x
  2. Step 2: Convert to fraction form
    3,217,854/4,721,589 = 4,721,589/x
  3. Step 3: Cross multiply
    3,217,854x = 4,721,589 × 4,721,589
  4. Step 4: Simplify right side
    3,217,854x = 22,293,402,684,921
  5. Step 5: Solve for x
    x = 22,293,402,684,921/3,217,854
  6. Step 6: Final answer
    x = 6,928,034.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.