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Finding the Third Proportional to 774,355 and 1,660,777

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Solution

The third proportional to 774,355 and 1,660,777 is: 3,561,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,355 : 1,660,777 = 1,660,777 : x
  2. Step 2: Convert to fraction form
    774,355/1,660,777 = 1,660,777/x
  3. Step 3: Cross multiply
    774,355x = 1,660,777 × 1,660,777
  4. Step 4: Simplify right side
    774,355x = 2,758,180,243,729
  5. Step 5: Solve for x
    x = 2,758,180,243,729/774,355
  6. Step 6: Final answer
    x = 3,561,906.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.