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Finding the Third Proportional to 1,641,420 and 2,521,422

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Solution

The third proportional to 1,641,420 and 2,521,422 is: 3,873,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641,420 : 2,521,422 = 2,521,422 : x
  2. Step 2: Convert to fraction form
    1,641,420/2,521,422 = 2,521,422/x
  3. Step 3: Cross multiply
    1,641,420x = 2,521,422 × 2,521,422
  4. Step 4: Simplify right side
    1,641,420x = 6,357,568,902,084
  5. Step 5: Solve for x
    x = 6,357,568,902,084/1,641,420
  6. Step 6: Final answer
    x = 3,873,212.77

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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.