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Finding the Third Proportional to 673,750 and 985,496

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Solution

The third proportional to 673,750 and 985,496 is: 1,441,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,750 : 985,496 = 985,496 : x
  2. Step 2: Convert to fraction form
    673,750/985,496 = 985,496/x
  3. Step 3: Cross multiply
    673,750x = 985,496 × 985,496
  4. Step 4: Simplify right side
    673,750x = 971,202,366,016
  5. Step 5: Solve for x
    x = 971,202,366,016/673,750
  6. Step 6: Final answer
    x = 1,441,487.74

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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.