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Finding the Third Proportional to 653,626 and 900,081

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Solution

The third proportional to 653,626 and 900,081 is: 1,239,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,626 : 900,081 = 900,081 : x
  2. Step 2: Convert to fraction form
    653,626/900,081 = 900,081/x
  3. Step 3: Cross multiply
    653,626x = 900,081 × 900,081
  4. Step 4: Simplify right side
    653,626x = 810,145,806,561
  5. Step 5: Solve for x
    x = 810,145,806,561/653,626
  6. Step 6: Final answer
    x = 1,239,463.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.