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Finding the Third Proportional to 2,041,452 and 4,456,452

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Solution

The third proportional to 2,041,452 and 4,456,452 is: 9,728,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041,452 : 4,456,452 = 4,456,452 : x
  2. Step 2: Convert to fraction form
    2,041,452/4,456,452 = 4,456,452/x
  3. Step 3: Cross multiply
    2,041,452x = 4,456,452 × 4,456,452
  4. Step 4: Simplify right side
    2,041,452x = 19,859,964,428,304
  5. Step 5: Solve for x
    x = 19,859,964,428,304/2,041,452
  6. Step 6: Final answer
    x = 9,728,352.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.