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Finding the Third Proportional to 381,408 and 838,988

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Solution

The third proportional to 381,408 and 838,988 is: 1,845,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,408 : 838,988 = 838,988 : x
  2. Step 2: Convert to fraction form
    381,408/838,988 = 838,988/x
  3. Step 3: Cross multiply
    381,408x = 838,988 × 838,988
  4. Step 4: Simplify right side
    381,408x = 703,900,864,144
  5. Step 5: Solve for x
    x = 703,900,864,144/381,408
  6. Step 6: Final answer
    x = 1,845,532.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.