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Finding the Third Proportional to 866,173.50 and 1,273,178.25

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Solution

The third proportional to 866,173.50 and 1,273,178.25 is: 1,871,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,173.50 : 1,273,178.25 = 1,273,178.25 : x
  2. Step 2: Convert to fraction form
    866,173.50/1,273,178.25 = 1,273,178.25/x
  3. Step 3: Cross multiply
    866,173.50x = 1,273,178.25 × 1,273,178.25
  4. Step 4: Simplify right side
    866,173.50x = 1,620,982,856,273.06
  5. Step 5: Solve for x
    x = 1,620,982,856,273.06/866,173.50
  6. Step 6: Final answer
    x = 1,871,429.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.