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Finding the Third Proportional to 664,634 and 974,741

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Solution

The third proportional to 664,634 and 974,741 is: 1,429,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,634 : 974,741 = 974,741 : x
  2. Step 2: Convert to fraction form
    664,634/974,741 = 974,741/x
  3. Step 3: Cross multiply
    664,634x = 974,741 × 974,741
  4. Step 4: Simplify right side
    664,634x = 950,120,017,081
  5. Step 5: Solve for x
    x = 950,120,017,081/664,634
  6. Step 6: Final answer
    x = 1,429,538.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.