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Finding the Third Proportional to 587,966 and 1,246,583

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Solution

The third proportional to 587,966 and 1,246,583 is: 2,642,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,966 : 1,246,583 = 1,246,583 : x
  2. Step 2: Convert to fraction form
    587,966/1,246,583 = 1,246,583/x
  3. Step 3: Cross multiply
    587,966x = 1,246,583 × 1,246,583
  4. Step 4: Simplify right side
    587,966x = 1,553,969,175,889
  5. Step 5: Solve for x
    x = 1,553,969,175,889/587,966
  6. Step 6: Final answer
    x = 2,642,957.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.