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Finding the Third Proportional to 657,479 and 962,571

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Solution

The third proportional to 657,479 and 962,571 is: 1,409,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,479 : 962,571 = 962,571 : x
  2. Step 2: Convert to fraction form
    657,479/962,571 = 962,571/x
  3. Step 3: Cross multiply
    657,479x = 962,571 × 962,571
  4. Step 4: Simplify right side
    657,479x = 926,542,930,041
  5. Step 5: Solve for x
    x = 926,542,930,041/657,479
  6. Step 6: Final answer
    x = 1,409,235.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.