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Finding the Third Proportional to 2,171,882 and 3,246,341

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Solution

The third proportional to 2,171,882 and 3,246,341 is: 4,852,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,882 : 3,246,341 = 3,246,341 : x
  2. Step 2: Convert to fraction form
    2,171,882/3,246,341 = 3,246,341/x
  3. Step 3: Cross multiply
    2,171,882x = 3,246,341 × 3,246,341
  4. Step 4: Simplify right side
    2,171,882x = 10,538,729,888,281
  5. Step 5: Solve for x
    x = 10,538,729,888,281/2,171,882
  6. Step 6: Final answer
    x = 4,852,349.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.