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Finding the Third Proportional to 427,608 and 935,408

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Solution

The third proportional to 427,608 and 935,408 is: 2,046,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,608 : 935,408 = 935,408 : x
  2. Step 2: Convert to fraction form
    427,608/935,408 = 935,408/x
  3. Step 3: Cross multiply
    427,608x = 935,408 × 935,408
  4. Step 4: Simplify right side
    427,608x = 874,988,126,464
  5. Step 5: Solve for x
    x = 874,988,126,464/427,608
  6. Step 6: Final answer
    x = 2,046,238.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.