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Finding the Third Proportional to 498,482 and 1,087,189

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Solution

The third proportional to 498,482 and 1,087,189 is: 2,371,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,482 : 1,087,189 = 1,087,189 : x
  2. Step 2: Convert to fraction form
    498,482/1,087,189 = 1,087,189/x
  3. Step 3: Cross multiply
    498,482x = 1,087,189 × 1,087,189
  4. Step 4: Simplify right side
    498,482x = 1,181,979,921,721
  5. Step 5: Solve for x
    x = 1,181,979,921,721/498,482
  6. Step 6: Final answer
    x = 2,371,158.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.