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Finding the Third Proportional to 2,082,488 and 3,145,920

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Solution

The third proportional to 2,082,488 and 3,145,920 is: 4,752,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,488 : 3,145,920 = 3,145,920 : x
  2. Step 2: Convert to fraction form
    2,082,488/3,145,920 = 3,145,920/x
  3. Step 3: Cross multiply
    2,082,488x = 3,145,920 × 3,145,920
  4. Step 4: Simplify right side
    2,082,488x = 9,896,812,646,400
  5. Step 5: Solve for x
    x = 9,896,812,646,400/2,082,488
  6. Step 6: Final answer
    x = 4,752,398.40

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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.