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Finding the Third Proportional to 771,056 and 1,670,812

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Solution

The third proportional to 771,056 and 1,670,812 is: 3,620,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,056 : 1,670,812 = 1,670,812 : x
  2. Step 2: Convert to fraction form
    771,056/1,670,812 = 1,670,812/x
  3. Step 3: Cross multiply
    771,056x = 1,670,812 × 1,670,812
  4. Step 4: Simplify right side
    771,056x = 2,791,612,739,344
  5. Step 5: Solve for x
    x = 2,791,612,739,344/771,056
  6. Step 6: Final answer
    x = 3,620,505.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.