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Finding the Third Proportional to 712,761.75 and 1,551,000.38

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Solution

The third proportional to 712,761.75 and 1,551,000.38 is: 3,375,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,761.75 : 1,551,000.38 = 1,551,000.38 : x
  2. Step 2: Convert to fraction form
    712,761.75/1,551,000.38 = 1,551,000.38/x
  3. Step 3: Cross multiply
    712,761.75x = 1,551,000.38 × 1,551,000.38
  4. Step 4: Simplify right side
    712,761.75x = 2,405,602,163,250.14
  5. Step 5: Solve for x
    x = 2,405,602,163,250.14/712,761.75
  6. Step 6: Final answer
    x = 3,375,043.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.