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Finding the Third Proportional to 2,414,306 and 5,220,634

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Solution

The third proportional to 2,414,306 and 5,220,634 is: 11,288,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,306 : 5,220,634 = 5,220,634 : x
  2. Step 2: Convert to fraction form
    2,414,306/5,220,634 = 5,220,634/x
  3. Step 3: Cross multiply
    2,414,306x = 5,220,634 × 5,220,634
  4. Step 4: Simplify right side
    2,414,306x = 27,255,019,361,956
  5. Step 5: Solve for x
    x = 27,255,019,361,956/2,414,306
  6. Step 6: Final answer
    x = 11,288,966.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.