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Finding the Third Proportional to 498,488 and 1,087,202

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Solution

The third proportional to 498,488 and 1,087,202 is: 2,371,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,488 : 1,087,202 = 1,087,202 : x
  2. Step 2: Convert to fraction form
    498,488/1,087,202 = 1,087,202/x
  3. Step 3: Cross multiply
    498,488x = 1,087,202 × 1,087,202
  4. Step 4: Simplify right side
    498,488x = 1,182,008,188,804
  5. Step 5: Solve for x
    x = 1,182,008,188,804/498,488
  6. Step 6: Final answer
    x = 2,371,186.85

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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.