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Finding the Third Proportional to 782,174.25 and 1,883,680.88

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Solution

The third proportional to 782,174.25 and 1,883,680.88 is: 4,536,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,174.25 : 1,883,680.88 = 1,883,680.88 : x
  2. Step 2: Convert to fraction form
    782,174.25/1,883,680.88 = 1,883,680.88/x
  3. Step 3: Cross multiply
    782,174.25x = 1,883,680.88 × 1,883,680.88
  4. Step 4: Simplify right side
    782,174.25x = 3,548,253,638,840.77
  5. Step 5: Solve for x
    x = 3,548,253,638,840.77/782,174.25
  6. Step 6: Final answer
    x = 4,536,397.92

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.