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Finding the Third Proportional to 4,291,632 and 6,481,188

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Solution

The third proportional to 4,291,632 and 6,481,188 is: 9,787,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291,632 : 6,481,188 = 6,481,188 : x
  2. Step 2: Convert to fraction form
    4,291,632/6,481,188 = 6,481,188/x
  3. Step 3: Cross multiply
    4,291,632x = 6,481,188 × 6,481,188
  4. Step 4: Simplify right side
    4,291,632x = 42,005,797,891,344
  5. Step 5: Solve for x
    x = 42,005,797,891,344/4,291,632
  6. Step 6: Final answer
    x = 9,787,837.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.