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Finding the Third Proportional to 812,331 and 1,216,765.13

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Solution

The third proportional to 812,331 and 1,216,765.13 is: 1,822,554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,331 : 1,216,765.13 = 1,216,765.13 : x
  2. Step 2: Convert to fraction form
    812,331/1,216,765.13 = 1,216,765.13/x
  3. Step 3: Cross multiply
    812,331x = 1,216,765.13 × 1,216,765.13
  4. Step 4: Simplify right side
    812,331x = 1,480,517,369,416.27
  5. Step 5: Solve for x
    x = 1,480,517,369,416.27/812,331
  6. Step 6: Final answer
    x = 1,822,554.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.