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Finding the Third Proportional to 935,966 and 1,368,849

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Solution

The third proportional to 935,966 and 1,368,849 is: 2,001,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,966 : 1,368,849 = 1,368,849 : x
  2. Step 2: Convert to fraction form
    935,966/1,368,849 = 1,368,849/x
  3. Step 3: Cross multiply
    935,966x = 1,368,849 × 1,368,849
  4. Step 4: Simplify right side
    935,966x = 1,873,747,584,801
  5. Step 5: Solve for x
    x = 1,873,747,584,801/935,966
  6. Step 6: Final answer
    x = 2,001,939.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.