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Finding the Third Proportional to 681,076 and 1,432,725.50

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Solution

The third proportional to 681,076 and 1,432,725.50 is: 3,013,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,076 : 1,432,725.50 = 1,432,725.50 : x
  2. Step 2: Convert to fraction form
    681,076/1,432,725.50 = 1,432,725.50/x
  3. Step 3: Cross multiply
    681,076x = 1,432,725.50 × 1,432,725.50
  4. Step 4: Simplify right side
    681,076x = 2,052,702,358,350.25
  5. Step 5: Solve for x
    x = 2,052,702,358,350.25/681,076
  6. Step 6: Final answer
    x = 3,013,910.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.