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Finding the Third Proportional to 4,581,656 and 6,722,704

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Solution

The third proportional to 4,581,656 and 6,722,704 is: 9,864,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581,656 : 6,722,704 = 6,722,704 : x
  2. Step 2: Convert to fraction form
    4,581,656/6,722,704 = 6,722,704/x
  3. Step 3: Cross multiply
    4,581,656x = 6,722,704 × 6,722,704
  4. Step 4: Simplify right side
    4,581,656x = 45,194,749,071,616
  5. Step 5: Solve for x
    x = 45,194,749,071,616/4,581,656
  6. Step 6: Final answer
    x = 9,864,282.49

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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.