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Finding the Third Proportional to 815,394 and 1,199,124

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Solution

The third proportional to 815,394 and 1,199,124 is: 1,763,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,394 : 1,199,124 = 1,199,124 : x
  2. Step 2: Convert to fraction form
    815,394/1,199,124 = 1,199,124/x
  3. Step 3: Cross multiply
    815,394x = 1,199,124 × 1,199,124
  4. Step 4: Simplify right side
    815,394x = 1,437,898,367,376
  5. Step 5: Solve for x
    x = 1,437,898,367,376/815,394
  6. Step 6: Final answer
    x = 1,763,439.97

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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.