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Finding the Third Proportional to 2,040,524 and 4,454,044.50

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Solution

The third proportional to 2,040,524 and 4,454,044.50 is: 9,722,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,524 : 4,454,044.50 = 4,454,044.50 : x
  2. Step 2: Convert to fraction form
    2,040,524/4,454,044.50 = 4,454,044.50/x
  3. Step 3: Cross multiply
    2,040,524x = 4,454,044.50 × 4,454,044.50
  4. Step 4: Simplify right side
    2,040,524x = 19,838,512,407,980.25
  5. Step 5: Solve for x
    x = 19,838,512,407,980.25/2,040,524
  6. Step 6: Final answer
    x = 9,722,263.70

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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.