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Finding the Third Proportional to 1,765,351.13 and 2,727,874.13

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Solution

The third proportional to 1,765,351.13 and 2,727,874.13 is: 4,215,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,351.13 : 2,727,874.13 = 2,727,874.13 : x
  2. Step 2: Convert to fraction form
    1,765,351.13/2,727,874.13 = 2,727,874.13/x
  3. Step 3: Cross multiply
    1,765,351.13x = 2,727,874.13 × 2,727,874.13
  4. Step 4: Simplify right side
    1,765,351.13x = 7,441,297,241,844.52
  5. Step 5: Solve for x
    x = 7,441,297,241,844.52/1,765,351.13
  6. Step 6: Final answer
    x = 4,215,193.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.