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Finding the Third Proportional to 771,078 and 1,670,856

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Solution

The third proportional to 771,078 and 1,670,856 is: 3,620,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,078 : 1,670,856 = 1,670,856 : x
  2. Step 2: Convert to fraction form
    771,078/1,670,856 = 1,670,856/x
  3. Step 3: Cross multiply
    771,078x = 1,670,856 × 1,670,856
  4. Step 4: Simplify right side
    771,078x = 2,791,759,772,736
  5. Step 5: Solve for x
    x = 2,791,759,772,736/771,078
  6. Step 6: Final answer
    x = 3,620,593.21

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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.