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Finding the Third Proportional to 656,711 and 1,425,517.50

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Solution

The third proportional to 656,711 and 1,425,517.50 is: 3,094,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,711 : 1,425,517.50 = 1,425,517.50 : x
  2. Step 2: Convert to fraction form
    656,711/1,425,517.50 = 1,425,517.50/x
  3. Step 3: Cross multiply
    656,711x = 1,425,517.50 × 1,425,517.50
  4. Step 4: Simplify right side
    656,711x = 2,032,100,142,806.25
  5. Step 5: Solve for x
    x = 2,032,100,142,806.25/656,711
  6. Step 6: Final answer
    x = 3,094,359.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.