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Finding the Third Proportional to 785,998 and 1,177,782

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Solution

The third proportional to 785,998 and 1,177,782 is: 1,764,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,998 : 1,177,782 = 1,177,782 : x
  2. Step 2: Convert to fraction form
    785,998/1,177,782 = 1,177,782/x
  3. Step 3: Cross multiply
    785,998x = 1,177,782 × 1,177,782
  4. Step 4: Simplify right side
    785,998x = 1,387,170,439,524
  5. Step 5: Solve for x
    x = 1,387,170,439,524/785,998
  6. Step 6: Final answer
    x = 1,764,852.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.