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Finding the Third Proportional to 587,070 and 1,274,517

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Solution

The third proportional to 587,070 and 1,274,517 is: 2,766,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,070 : 1,274,517 = 1,274,517 : x
  2. Step 2: Convert to fraction form
    587,070/1,274,517 = 1,274,517/x
  3. Step 3: Cross multiply
    587,070x = 1,274,517 × 1,274,517
  4. Step 4: Simplify right side
    587,070x = 1,624,393,583,289
  5. Step 5: Solve for x
    x = 1,624,393,583,289/587,070
  6. Step 6: Final answer
    x = 2,766,950.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.