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Finding the Third Proportional to 502,728 and 1,084,176

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Solution

The third proportional to 502,728 and 1,084,176 is: 2,338,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,728 : 1,084,176 = 1,084,176 : x
  2. Step 2: Convert to fraction form
    502,728/1,084,176 = 1,084,176/x
  3. Step 3: Cross multiply
    502,728x = 1,084,176 × 1,084,176
  4. Step 4: Simplify right side
    502,728x = 1,175,437,598,976
  5. Step 5: Solve for x
    x = 1,175,437,598,976/502,728
  6. Step 6: Final answer
    x = 2,338,118.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.