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Finding the Third Proportional to 982,261.50 and 1,467,342

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Solution

The third proportional to 982,261.50 and 1,467,342 is: 2,191,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,261.50 : 1,467,342 = 1,467,342 : x
  2. Step 2: Convert to fraction form
    982,261.50/1,467,342 = 1,467,342/x
  3. Step 3: Cross multiply
    982,261.50x = 1,467,342 × 1,467,342
  4. Step 4: Simplify right side
    982,261.50x = 2,153,092,544,964
  5. Step 5: Solve for x
    x = 2,153,092,544,964/982,261.50
  6. Step 6: Final answer
    x = 2,191,974.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.