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Finding the Third Proportional to 731,630 and 1,125,977

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Solution

The third proportional to 731,630 and 1,125,977 is: 1,732,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,630 : 1,125,977 = 1,125,977 : x
  2. Step 2: Convert to fraction form
    731,630/1,125,977 = 1,125,977/x
  3. Step 3: Cross multiply
    731,630x = 1,125,977 × 1,125,977
  4. Step 4: Simplify right side
    731,630x = 1,267,824,204,529
  5. Step 5: Solve for x
    x = 1,267,824,204,529/731,630
  6. Step 6: Final answer
    x = 1,732,876.19

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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.