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Finding the Third Proportional to 342,078 and 791,822

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Solution

The third proportional to 342,078 and 791,822 is: 1,832,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,078 : 791,822 = 791,822 : x
  2. Step 2: Convert to fraction form
    342,078/791,822 = 791,822/x
  3. Step 3: Cross multiply
    342,078x = 791,822 × 791,822
  4. Step 4: Simplify right side
    342,078x = 626,982,079,684
  5. Step 5: Solve for x
    x = 626,982,079,684/342,078
  6. Step 6: Final answer
    x = 1,832,862.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.