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Finding the Third Proportional to 866,592 and 1,267,791.75

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Solution

The third proportional to 866,592 and 1,267,791.75 is: 1,854,732.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,592 : 1,267,791.75 = 1,267,791.75 : x
  2. Step 2: Convert to fraction form
    866,592/1,267,791.75 = 1,267,791.75/x
  3. Step 3: Cross multiply
    866,592x = 1,267,791.75 × 1,267,791.75
  4. Step 4: Simplify right side
    866,592x = 1,607,295,921,368.06
  5. Step 5: Solve for x
    x = 1,607,295,921,368.06/866,592
  6. Step 6: Final answer
    x = 1,854,732.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.