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Finding the Third Proportional to 502,022 and 1,103,232

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Solution

The third proportional to 502,022 and 1,103,232 is: 2,424,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,022 : 1,103,232 = 1,103,232 : x
  2. Step 2: Convert to fraction form
    502,022/1,103,232 = 1,103,232/x
  3. Step 3: Cross multiply
    502,022x = 1,103,232 × 1,103,232
  4. Step 4: Simplify right side
    502,022x = 1,217,120,845,824
  5. Step 5: Solve for x
    x = 1,217,120,845,824/502,022
  6. Step 6: Final answer
    x = 2,424,437.27

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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.