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Finding the Third Proportional to 2,456,512 and 5,332,624

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Solution

The third proportional to 2,456,512 and 5,332,624 is: 11,576,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456,512 : 5,332,624 = 5,332,624 : x
  2. Step 2: Convert to fraction form
    2,456,512/5,332,624 = 5,332,624/x
  3. Step 3: Cross multiply
    2,456,512x = 5,332,624 × 5,332,624
  4. Step 4: Simplify right side
    2,456,512x = 28,436,878,725,376
  5. Step 5: Solve for x
    x = 28,436,878,725,376/2,456,512
  6. Step 6: Final answer
    x = 11,576,120.42

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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.