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Finding the Third Proportional to 774,772.88 and 1,678,227.75

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Solution

The third proportional to 774,772.88 and 1,678,227.75 is: 3,635,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,772.88 : 1,678,227.75 = 1,678,227.75 : x
  2. Step 2: Convert to fraction form
    774,772.88/1,678,227.75 = 1,678,227.75/x
  3. Step 3: Cross multiply
    774,772.88x = 1,678,227.75 × 1,678,227.75
  4. Step 4: Simplify right side
    774,772.88x = 2,816,448,380,870.06
  5. Step 5: Solve for x
    x = 2,816,448,380,870.06/774,772.88
  6. Step 6: Final answer
    x = 3,635,192.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.