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Finding the Third Proportional to 866,784.80 and 1,347,388.17

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Solution

The third proportional to 866,784.80 and 1,347,388.17 is: 2,094,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,784.80 : 1,347,388.17 = 1,347,388.17 : x
  2. Step 2: Convert to fraction form
    866,784.80/1,347,388.17 = 1,347,388.17/x
  3. Step 3: Cross multiply
    866,784.80x = 1,347,388.17 × 1,347,388.17
  4. Step 4: Simplify right side
    866,784.80x = 1,815,454,885,708.65
  5. Step 5: Solve for x
    x = 1,815,454,885,708.65/866,784.80
  6. Step 6: Final answer
    x = 2,094,470.15

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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.