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Finding the Third Proportional to 617,977 and 1,353,775

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Solution

The third proportional to 617,977 and 1,353,775 is: 2,965,655.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,977 : 1,353,775 = 1,353,775 : x
  2. Step 2: Convert to fraction form
    617,977/1,353,775 = 1,353,775/x
  3. Step 3: Cross multiply
    617,977x = 1,353,775 × 1,353,775
  4. Step 4: Simplify right side
    617,977x = 1,832,706,750,625
  5. Step 5: Solve for x
    x = 1,832,706,750,625/617,977
  6. Step 6: Final answer
    x = 2,965,655.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.