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Finding the Third Proportional to 487,498 and 1,087,026

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Solution

The third proportional to 487,498 and 1,087,026 is: 2,423,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,498 : 1,087,026 = 1,087,026 : x
  2. Step 2: Convert to fraction form
    487,498/1,087,026 = 1,087,026/x
  3. Step 3: Cross multiply
    487,498x = 1,087,026 × 1,087,026
  4. Step 4: Simplify right side
    487,498x = 1,181,625,524,676
  5. Step 5: Solve for x
    x = 1,181,625,524,676/487,498
  6. Step 6: Final answer
    x = 2,423,857.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.