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Finding the Third Proportional to 508,414 and 1,086,620

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Solution

The third proportional to 508,414 and 1,086,620 is: 2,322,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,414 : 1,086,620 = 1,086,620 : x
  2. Step 2: Convert to fraction form
    508,414/1,086,620 = 1,086,620/x
  3. Step 3: Cross multiply
    508,414x = 1,086,620 × 1,086,620
  4. Step 4: Simplify right side
    508,414x = 1,180,743,024,400
  5. Step 5: Solve for x
    x = 1,180,743,024,400/508,414
  6. Step 6: Final answer
    x = 2,322,404.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.