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Finding the Third Proportional to 1,002,446 and 2,161,378

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Solution

The third proportional to 1,002,446 and 2,161,378 is: 4,660,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,446 : 2,161,378 = 2,161,378 : x
  2. Step 2: Convert to fraction form
    1,002,446/2,161,378 = 2,161,378/x
  3. Step 3: Cross multiply
    1,002,446x = 2,161,378 × 2,161,378
  4. Step 4: Simplify right side
    1,002,446x = 4,671,554,858,884
  5. Step 5: Solve for x
    x = 4,671,554,858,884/1,002,446
  6. Step 6: Final answer
    x = 4,660,156.12

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