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Finding the Third Proportional to 527,809 and 1,138,562

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Solution

The third proportional to 527,809 and 1,138,562 is: 2,456,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,809 : 1,138,562 = 1,138,562 : x
  2. Step 2: Convert to fraction form
    527,809/1,138,562 = 1,138,562/x
  3. Step 3: Cross multiply
    527,809x = 1,138,562 × 1,138,562
  4. Step 4: Simplify right side
    527,809x = 1,296,323,427,844
  5. Step 5: Solve for x
    x = 1,296,323,427,844/527,809
  6. Step 6: Final answer
    x = 2,456,046.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.