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Finding the Third Proportional to 412,792 and 843,077

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Solution

The third proportional to 412,792 and 843,077 is: 1,721,881.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,792 : 843,077 = 843,077 : x
  2. Step 2: Convert to fraction form
    412,792/843,077 = 843,077/x
  3. Step 3: Cross multiply
    412,792x = 843,077 × 843,077
  4. Step 4: Simplify right side
    412,792x = 710,778,827,929
  5. Step 5: Solve for x
    x = 710,778,827,929/412,792
  6. Step 6: Final answer
    x = 1,721,881.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.