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Finding the Third Proportional to 935,966 and 2,021,374

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Solution

The third proportional to 935,966 and 2,021,374 is: 4,365,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,966 : 2,021,374 = 2,021,374 : x
  2. Step 2: Convert to fraction form
    935,966/2,021,374 = 2,021,374/x
  3. Step 3: Cross multiply
    935,966x = 2,021,374 × 2,021,374
  4. Step 4: Simplify right side
    935,966x = 4,085,952,847,876
  5. Step 5: Solve for x
    x = 4,085,952,847,876/935,966
  6. Step 6: Final answer
    x = 4,365,492.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.