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Finding the Third Proportional to 1,251,649.50 and 2,569,651

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Solution

The third proportional to 1,251,649.50 and 2,569,651 is: 5,275,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,649.50 : 2,569,651 = 2,569,651 : x
  2. Step 2: Convert to fraction form
    1,251,649.50/2,569,651 = 2,569,651/x
  3. Step 3: Cross multiply
    1,251,649.50x = 2,569,651 × 2,569,651
  4. Step 4: Simplify right side
    1,251,649.50x = 6,603,106,261,801
  5. Step 5: Solve for x
    x = 6,603,106,261,801/1,251,649.50
  6. Step 6: Final answer
    x = 5,275,523.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.