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Finding the Third Proportional to 782,874 and 1,199,582

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Solution

The third proportional to 782,874 and 1,199,582 is: 1,838,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,874 : 1,199,582 = 1,199,582 : x
  2. Step 2: Convert to fraction form
    782,874/1,199,582 = 1,199,582/x
  3. Step 3: Cross multiply
    782,874x = 1,199,582 × 1,199,582
  4. Step 4: Simplify right side
    782,874x = 1,438,996,974,724
  5. Step 5: Solve for x
    x = 1,438,996,974,724/782,874
  6. Step 6: Final answer
    x = 1,838,095.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.