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Finding the Third Proportional to 2,852,472 and 6,264,744

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Solution

The third proportional to 2,852,472 and 6,264,744 is: 13,758,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,472 : 6,264,744 = 6,264,744 : x
  2. Step 2: Convert to fraction form
    2,852,472/6,264,744 = 6,264,744/x
  3. Step 3: Cross multiply
    2,852,472x = 6,264,744 × 6,264,744
  4. Step 4: Simplify right side
    2,852,472x = 39,247,017,385,536
  5. Step 5: Solve for x
    x = 39,247,017,385,536/2,852,472
  6. Step 6: Final answer
    x = 13,758,949.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.