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Finding the Third Proportional to 498,486 and 1,087,197

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Solution

The third proportional to 498,486 and 1,087,197 is: 2,371,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,486 : 1,087,197 = 1,087,197 : x
  2. Step 2: Convert to fraction form
    498,486/1,087,197 = 1,087,197/x
  3. Step 3: Cross multiply
    498,486x = 1,087,197 × 1,087,197
  4. Step 4: Simplify right side
    498,486x = 1,181,997,316,809
  5. Step 5: Solve for x
    x = 1,181,997,316,809/498,486
  6. Step 6: Final answer
    x = 2,371,174.55

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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.