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Finding the Third Proportional to 785,772 and 1,715,480

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Solution

The third proportional to 785,772 and 1,715,480 is: 3,745,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,772 : 1,715,480 = 1,715,480 : x
  2. Step 2: Convert to fraction form
    785,772/1,715,480 = 1,715,480/x
  3. Step 3: Cross multiply
    785,772x = 1,715,480 × 1,715,480
  4. Step 4: Simplify right side
    785,772x = 2,942,871,630,400
  5. Step 5: Solve for x
    x = 2,942,871,630,400/785,772
  6. Step 6: Final answer
    x = 3,745,197.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.