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Finding the Third Proportional to 771,066 and 1,670,850

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Solution

The third proportional to 771,066 and 1,670,850 is: 3,620,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,066 : 1,670,850 = 1,670,850 : x
  2. Step 2: Convert to fraction form
    771,066/1,670,850 = 1,670,850/x
  3. Step 3: Cross multiply
    771,066x = 1,670,850 × 1,670,850
  4. Step 4: Simplify right side
    771,066x = 2,791,739,722,500
  5. Step 5: Solve for x
    x = 2,791,739,722,500/771,066
  6. Step 6: Final answer
    x = 3,620,623.56

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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.