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Finding the Third Proportional to 851,427 and 1,280,727

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Solution

The third proportional to 851,427 and 1,280,727 is: 1,926,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,427 : 1,280,727 = 1,280,727 : x
  2. Step 2: Convert to fraction form
    851,427/1,280,727 = 1,280,727/x
  3. Step 3: Cross multiply
    851,427x = 1,280,727 × 1,280,727
  4. Step 4: Simplify right side
    851,427x = 1,640,261,648,529
  5. Step 5: Solve for x
    x = 1,640,261,648,529/851,427
  6. Step 6: Final answer
    x = 1,926,485.36

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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.