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Finding the Third Proportional to 731,874 and 1,760,982

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Solution

The third proportional to 731,874 and 1,760,982 is: 4,237,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,874 : 1,760,982 = 1,760,982 : x
  2. Step 2: Convert to fraction form
    731,874/1,760,982 = 1,760,982/x
  3. Step 3: Cross multiply
    731,874x = 1,760,982 × 1,760,982
  4. Step 4: Simplify right side
    731,874x = 3,101,057,604,324
  5. Step 5: Solve for x
    x = 3,101,057,604,324/731,874
  6. Step 6: Final answer
    x = 4,237,146.84

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.