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Finding the Third Proportional to 498,519 and 1,087,264.13

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Solution

The third proportional to 498,519 and 1,087,264.13 is: 2,371,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,519 : 1,087,264.13 = 1,087,264.13 : x
  2. Step 2: Convert to fraction form
    498,519/1,087,264.13 = 1,087,264.13/x
  3. Step 3: Cross multiply
    498,519x = 1,087,264.13 × 1,087,264.13
  4. Step 4: Simplify right side
    498,519x = 1,182,143,277,512.02
  5. Step 5: Solve for x
    x = 1,182,143,277,512.02/498,519
  6. Step 6: Final answer
    x = 2,371,310.38

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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.