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Finding the Third Proportional to 1,002,444 and 2,161,374

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Solution

The third proportional to 1,002,444 and 2,161,374 is: 4,660,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,444 : 2,161,374 = 2,161,374 : x
  2. Step 2: Convert to fraction form
    1,002,444/2,161,374 = 2,161,374/x
  3. Step 3: Cross multiply
    1,002,444x = 2,161,374 × 2,161,374
  4. Step 4: Simplify right side
    1,002,444x = 4,671,537,567,876
  5. Step 5: Solve for x
    x = 4,671,537,567,876/1,002,444
  6. Step 6: Final answer
    x = 4,660,148.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.