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Finding the Third Proportional to 4,202,978 and 6,656,331

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Solution

The third proportional to 4,202,978 and 6,656,331 is: 10,541,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202,978 : 6,656,331 = 6,656,331 : x
  2. Step 2: Convert to fraction form
    4,202,978/6,656,331 = 6,656,331/x
  3. Step 3: Cross multiply
    4,202,978x = 6,656,331 × 6,656,331
  4. Step 4: Simplify right side
    4,202,978x = 44,306,742,381,561
  5. Step 5: Solve for x
    x = 44,306,742,381,561/4,202,978
  6. Step 6: Final answer
    x = 10,541,749.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.