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Finding the Third Proportional to 1,602,105 and 2,479,863

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Solution

The third proportional to 1,602,105 and 2,479,863 is: 3,838,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,105 : 2,479,863 = 2,479,863 : x
  2. Step 2: Convert to fraction form
    1,602,105/2,479,863 = 2,479,863/x
  3. Step 3: Cross multiply
    1,602,105x = 2,479,863 × 2,479,863
  4. Step 4: Simplify right side
    1,602,105x = 6,149,720,498,769
  5. Step 5: Solve for x
    x = 6,149,720,498,769/1,602,105
  6. Step 6: Final answer
    x = 3,838,525.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.