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Finding the Third Proportional to 498,510 and 1,087,244

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Solution

The third proportional to 498,510 and 1,087,244 is: 2,371,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,510 : 1,087,244 = 1,087,244 : x
  2. Step 2: Convert to fraction form
    498,510/1,087,244 = 1,087,244/x
  3. Step 3: Cross multiply
    498,510x = 1,087,244 × 1,087,244
  4. Step 4: Simplify right side
    498,510x = 1,182,099,515,536
  5. Step 5: Solve for x
    x = 1,182,099,515,536/498,510
  6. Step 6: Final answer
    x = 2,371,265.40

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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.