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Finding the Third Proportional to 1,022,408 and 2,150,581

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Solution

The third proportional to 1,022,408 and 2,150,581 is: 4,523,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,408 : 2,150,581 = 2,150,581 : x
  2. Step 2: Convert to fraction form
    1,022,408/2,150,581 = 2,150,581/x
  3. Step 3: Cross multiply
    1,022,408x = 2,150,581 × 2,150,581
  4. Step 4: Simplify right side
    1,022,408x = 4,624,998,637,561
  5. Step 5: Solve for x
    x = 4,624,998,637,561/1,022,408
  6. Step 6: Final answer
    x = 4,523,633.07

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.