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Finding the Third Proportional to 1,002,834 and 2,145,636

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Solution

The third proportional to 1,002,834 and 2,145,636 is: 4,590,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,834 : 2,145,636 = 2,145,636 : x
  2. Step 2: Convert to fraction form
    1,002,834/2,145,636 = 2,145,636/x
  3. Step 3: Cross multiply
    1,002,834x = 2,145,636 × 2,145,636
  4. Step 4: Simplify right side
    1,002,834x = 4,603,753,844,496
  5. Step 5: Solve for x
    x = 4,603,753,844,496/1,002,834
  6. Step 6: Final answer
    x = 4,590,743.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.