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Finding the Third Proportional to 3,141,882 and 4,804,204

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Solution

The third proportional to 3,141,882 and 4,804,204 is: 7,346,035.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,882 : 4,804,204 = 4,804,204 : x
  2. Step 2: Convert to fraction form
    3,141,882/4,804,204 = 4,804,204/x
  3. Step 3: Cross multiply
    3,141,882x = 4,804,204 × 4,804,204
  4. Step 4: Simplify right side
    3,141,882x = 23,080,376,073,616
  5. Step 5: Solve for x
    x = 23,080,376,073,616/3,141,882
  6. Step 6: Final answer
    x = 7,346,035.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.