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Finding the Third Proportional to 498,494 and 1,087,213

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Solution

The third proportional to 498,494 and 1,087,213 is: 2,371,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,494 : 1,087,213 = 1,087,213 : x
  2. Step 2: Convert to fraction form
    498,494/1,087,213 = 1,087,213/x
  3. Step 3: Cross multiply
    498,494x = 1,087,213 × 1,087,213
  4. Step 4: Simplify right side
    498,494x = 1,182,032,107,369
  5. Step 5: Solve for x
    x = 1,182,032,107,369/498,494
  6. Step 6: Final answer
    x = 2,371,206.29

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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.