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Finding the Third Proportional to 4,211,549 and 6,469,454.25

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Solution

The third proportional to 4,211,549 and 6,469,454.25 is: 9,937,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,549 : 6,469,454.25 = 6,469,454.25 : x
  2. Step 2: Convert to fraction form
    4,211,549/6,469,454.25 = 6,469,454.25/x
  3. Step 3: Cross multiply
    4,211,549x = 6,469,454.25 × 6,469,454.25
  4. Step 4: Simplify right side
    4,211,549x = 41,853,838,292,843.06
  5. Step 5: Solve for x
    x = 41,853,838,292,843.06/4,211,549
  6. Step 6: Final answer
    x = 9,937,872.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.