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Finding the Third Proportional to 982,881 and 1,481,247

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Solution

The third proportional to 982,881 and 1,481,247 is: 2,232,307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,881 : 1,481,247 = 1,481,247 : x
  2. Step 2: Convert to fraction form
    982,881/1,481,247 = 1,481,247/x
  3. Step 3: Cross multiply
    982,881x = 1,481,247 × 1,481,247
  4. Step 4: Simplify right side
    982,881x = 2,194,092,675,009
  5. Step 5: Solve for x
    x = 2,194,092,675,009/982,881
  6. Step 6: Final answer
    x = 2,232,307.55

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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.