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Finding the Third Proportional to 535,694 and 810,452

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Solution

The third proportional to 535,694 and 810,452 is: 1,226,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,694 : 810,452 = 810,452 : x
  2. Step 2: Convert to fraction form
    535,694/810,452 = 810,452/x
  3. Step 3: Cross multiply
    535,694x = 810,452 × 810,452
  4. Step 4: Simplify right side
    535,694x = 656,832,444,304
  5. Step 5: Solve for x
    x = 656,832,444,304/535,694
  6. Step 6: Final answer
    x = 1,226,133.66

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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.