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Finding the Third Proportional to 524,626 and 810,123

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Solution

The third proportional to 524,626 and 810,123 is: 1,250,985.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,626 : 810,123 = 810,123 : x
  2. Step 2: Convert to fraction form
    524,626/810,123 = 810,123/x
  3. Step 3: Cross multiply
    524,626x = 810,123 × 810,123
  4. Step 4: Simplify right side
    524,626x = 656,299,275,129
  5. Step 5: Solve for x
    x = 656,299,275,129/524,626
  6. Step 6: Final answer
    x = 1,250,985.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.