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Finding the Third Proportional to 1,214,214 and 2,664,624

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Solution

The third proportional to 1,214,214 and 2,664,624 is: 5,847,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,214 : 2,664,624 = 2,664,624 : x
  2. Step 2: Convert to fraction form
    1,214,214/2,664,624 = 2,664,624/x
  3. Step 3: Cross multiply
    1,214,214x = 2,664,624 × 2,664,624
  4. Step 4: Simplify right side
    1,214,214x = 7,100,221,061,376
  5. Step 5: Solve for x
    x = 7,100,221,061,376/1,214,214
  6. Step 6: Final answer
    x = 5,847,586.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.