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Finding the Third Proportional to 672,986 and 1,482,538

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Solution

The third proportional to 672,986 and 1,482,538 is: 3,265,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,986 : 1,482,538 = 1,482,538 : x
  2. Step 2: Convert to fraction form
    672,986/1,482,538 = 1,482,538/x
  3. Step 3: Cross multiply
    672,986x = 1,482,538 × 1,482,538
  4. Step 4: Simplify right side
    672,986x = 2,197,918,921,444
  5. Step 5: Solve for x
    x = 2,197,918,921,444/672,986
  6. Step 6: Final answer
    x = 3,265,920.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.