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Finding the Third Proportional to 498,516 and 1,087,254

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Solution

The third proportional to 498,516 and 1,087,254 is: 2,371,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,516 : 1,087,254 = 1,087,254 : x
  2. Step 2: Convert to fraction form
    498,516/1,087,254 = 1,087,254/x
  3. Step 3: Cross multiply
    498,516x = 1,087,254 × 1,087,254
  4. Step 4: Simplify right side
    498,516x = 1,182,121,260,516
  5. Step 5: Solve for x
    x = 1,182,121,260,516/498,516
  6. Step 6: Final answer
    x = 2,371,280.48

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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.