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Finding the Third Proportional to 400,815 and 881,792

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Solution

The third proportional to 400,815 and 881,792 is: 1,939,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,815 : 881,792 = 881,792 : x
  2. Step 2: Convert to fraction form
    400,815/881,792 = 881,792/x
  3. Step 3: Cross multiply
    400,815x = 881,792 × 881,792
  4. Step 4: Simplify right side
    400,815x = 777,557,131,264
  5. Step 5: Solve for x
    x = 777,557,131,264/400,815
  6. Step 6: Final answer
    x = 1,939,940.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.