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Finding the Third Proportional to 4,397,508 and 6,727,047

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Solution

The third proportional to 4,397,508 and 6,727,047 is: 10,290,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397,508 : 6,727,047 = 6,727,047 : x
  2. Step 2: Convert to fraction form
    4,397,508/6,727,047 = 6,727,047/x
  3. Step 3: Cross multiply
    4,397,508x = 6,727,047 × 6,727,047
  4. Step 4: Simplify right side
    4,397,508x = 45,253,161,340,209
  5. Step 5: Solve for x
    x = 45,253,161,340,209/4,397,508
  6. Step 6: Final answer
    x = 10,290,637.64

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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.