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Finding the Third Proportional to 498,511 and 1,087,246

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Solution

The third proportional to 498,511 and 1,087,246 is: 2,371,269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,511 : 1,087,246 = 1,087,246 : x
  2. Step 2: Convert to fraction form
    498,511/1,087,246 = 1,087,246/x
  3. Step 3: Cross multiply
    498,511x = 1,087,246 × 1,087,246
  4. Step 4: Simplify right side
    498,511x = 1,182,103,864,516
  5. Step 5: Solve for x
    x = 1,182,103,864,516/498,511
  6. Step 6: Final answer
    x = 2,371,269.37

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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.