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Finding the Third Proportional to 1,464,680 and 2,217,675

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Solution

The third proportional to 1,464,680 and 2,217,675 is: 3,357,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,680 : 2,217,675 = 2,217,675 : x
  2. Step 2: Convert to fraction form
    1,464,680/2,217,675 = 2,217,675/x
  3. Step 3: Cross multiply
    1,464,680x = 2,217,675 × 2,217,675
  4. Step 4: Simplify right side
    1,464,680x = 4,918,082,405,625
  5. Step 5: Solve for x
    x = 4,918,082,405,625/1,464,680
  6. Step 6: Final answer
    x = 3,357,786.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.