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Finding the Third Proportional to 1,267,922.25 and 1,856,367

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Solution

The third proportional to 1,267,922.25 and 1,856,367 is: 2,717,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,922.25 : 1,856,367 = 1,856,367 : x
  2. Step 2: Convert to fraction form
    1,267,922.25/1,856,367 = 1,856,367/x
  3. Step 3: Cross multiply
    1,267,922.25x = 1,856,367 × 1,856,367
  4. Step 4: Simplify right side
    1,267,922.25x = 3,446,098,438,689
  5. Step 5: Solve for x
    x = 3,446,098,438,689/1,267,922.25
  6. Step 6: Final answer
    x = 2,717,909.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.