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Finding the Third Proportional to 791,195 and 1,225,884

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Solution

The third proportional to 791,195 and 1,225,884 is: 1,899,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,195 : 1,225,884 = 1,225,884 : x
  2. Step 2: Convert to fraction form
    791,195/1,225,884 = 1,225,884/x
  3. Step 3: Cross multiply
    791,195x = 1,225,884 × 1,225,884
  4. Step 4: Simplify right side
    791,195x = 1,502,791,581,456
  5. Step 5: Solve for x
    x = 1,502,791,581,456/791,195
  6. Step 6: Final answer
    x = 1,899,394.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.