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Finding the Third Proportional to 687,026 and 1,465,366

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Solution

The third proportional to 687,026 and 1,465,366 is: 3,125,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,026 : 1,465,366 = 1,465,366 : x
  2. Step 2: Convert to fraction form
    687,026/1,465,366 = 1,465,366/x
  3. Step 3: Cross multiply
    687,026x = 1,465,366 × 1,465,366
  4. Step 4: Simplify right side
    687,026x = 2,147,297,513,956
  5. Step 5: Solve for x
    x = 2,147,297,513,956/687,026
  6. Step 6: Final answer
    x = 3,125,496.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.