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Finding the Third Proportional to 856,032 and 1,281,375

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Solution

The third proportional to 856,032 and 1,281,375 is: 1,918,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,032 : 1,281,375 = 1,281,375 : x
  2. Step 2: Convert to fraction form
    856,032/1,281,375 = 1,281,375/x
  3. Step 3: Cross multiply
    856,032x = 1,281,375 × 1,281,375
  4. Step 4: Simplify right side
    856,032x = 1,641,921,890,625
  5. Step 5: Solve for x
    x = 1,641,921,890,625/856,032
  6. Step 6: Final answer
    x = 1,918,061.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.