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Finding the Third Proportional to 864,614.25 and 1,381,242.38

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Solution

The third proportional to 864,614.25 and 1,381,242.38 is: 2,206,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,614.25 : 1,381,242.38 = 1,381,242.38 : x
  2. Step 2: Convert to fraction form
    864,614.25/1,381,242.38 = 1,381,242.38/x
  3. Step 3: Cross multiply
    864,614.25x = 1,381,242.38 × 1,381,242.38
  4. Step 4: Simplify right side
    864,614.25x = 1,907,830,498,495.64
  5. Step 5: Solve for x
    x = 1,907,830,498,495.64/864,614.25
  6. Step 6: Final answer
    x = 2,206,568.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.