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Finding the Third Proportional to 774,588 and 1,173,474

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Solution

The third proportional to 774,588 and 1,173,474 is: 1,777,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,588 : 1,173,474 = 1,173,474 : x
  2. Step 2: Convert to fraction form
    774,588/1,173,474 = 1,173,474/x
  3. Step 3: Cross multiply
    774,588x = 1,173,474 × 1,173,474
  4. Step 4: Simplify right side
    774,588x = 1,377,041,228,676
  5. Step 5: Solve for x
    x = 1,377,041,228,676/774,588
  6. Step 6: Final answer
    x = 1,777,772.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.