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Finding the Third Proportional to 712,180.13 and 1,647,283.50

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Solution

The third proportional to 712,180.13 and 1,647,283.50 is: 3,810,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,180.13 : 1,647,283.50 = 1,647,283.50 : x
  2. Step 2: Convert to fraction form
    712,180.13/1,647,283.50 = 1,647,283.50/x
  3. Step 3: Cross multiply
    712,180.13x = 1,647,283.50 × 1,647,283.50
  4. Step 4: Simplify right side
    712,180.13x = 2,713,542,929,372.25
  5. Step 5: Solve for x
    x = 2,713,542,929,372.25/712,180.13
  6. Step 6: Final answer
    x = 3,810,191.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.