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Finding the Third Proportional to 1,446,772 and 3,142,624

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Solution

The third proportional to 1,446,772 and 3,142,624 is: 6,826,290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446,772 : 3,142,624 = 3,142,624 : x
  2. Step 2: Convert to fraction form
    1,446,772/3,142,624 = 3,142,624/x
  3. Step 3: Cross multiply
    1,446,772x = 3,142,624 × 3,142,624
  4. Step 4: Simplify right side
    1,446,772x = 9,876,085,605,376
  5. Step 5: Solve for x
    x = 9,876,085,605,376/1,446,772
  6. Step 6: Final answer
    x = 6,826,290.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.