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Finding the Third Proportional to 952,486 and 1,297,107

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Solution

The third proportional to 952,486 and 1,297,107 is: 1,766,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,486 : 1,297,107 = 1,297,107 : x
  2. Step 2: Convert to fraction form
    952,486/1,297,107 = 1,297,107/x
  3. Step 3: Cross multiply
    952,486x = 1,297,107 × 1,297,107
  4. Step 4: Simplify right side
    952,486x = 1,682,486,569,449
  5. Step 5: Solve for x
    x = 1,682,486,569,449/952,486
  6. Step 6: Final answer
    x = 1,766,416.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.