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Finding the Third Proportional to 825,179 and 1,243,232

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Solution

The third proportional to 825,179 and 1,243,232 is: 1,873,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,179 : 1,243,232 = 1,243,232 : x
  2. Step 2: Convert to fraction form
    825,179/1,243,232 = 1,243,232/x
  3. Step 3: Cross multiply
    825,179x = 1,243,232 × 1,243,232
  4. Step 4: Simplify right side
    825,179x = 1,545,625,805,824
  5. Step 5: Solve for x
    x = 1,545,625,805,824/825,179
  6. Step 6: Final answer
    x = 1,873,079.42

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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.