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Finding the Third Proportional to 826,614 and 1,252,377

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Solution

The third proportional to 826,614 and 1,252,377 is: 1,897,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,614 : 1,252,377 = 1,252,377 : x
  2. Step 2: Convert to fraction form
    826,614/1,252,377 = 1,252,377/x
  3. Step 3: Cross multiply
    826,614x = 1,252,377 × 1,252,377
  4. Step 4: Simplify right side
    826,614x = 1,568,448,150,129
  5. Step 5: Solve for x
    x = 1,568,448,150,129/826,614
  6. Step 6: Final answer
    x = 1,897,437.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.