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Finding the Third Proportional to 416,493 and 897,777

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Solution

The third proportional to 416,493 and 897,777 is: 1,935,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,493 : 897,777 = 897,777 : x
  2. Step 2: Convert to fraction form
    416,493/897,777 = 897,777/x
  3. Step 3: Cross multiply
    416,493x = 897,777 × 897,777
  4. Step 4: Simplify right side
    416,493x = 806,003,541,729
  5. Step 5: Solve for x
    x = 806,003,541,729/416,493
  6. Step 6: Final answer
    x = 1,935,215.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.