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Finding the Third Proportional to 2,182,107 and 4,741,929

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Solution

The third proportional to 2,182,107 and 4,741,929 is: 10,304,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,107 : 4,741,929 = 4,741,929 : x
  2. Step 2: Convert to fraction form
    2,182,107/4,741,929 = 4,741,929/x
  3. Step 3: Cross multiply
    2,182,107x = 4,741,929 × 4,741,929
  4. Step 4: Simplify right side
    2,182,107x = 22,485,890,641,041
  5. Step 5: Solve for x
    x = 22,485,890,641,041/2,182,107
  6. Step 6: Final answer
    x = 10,304,669.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.