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Finding the Third Proportional to 738,966 and 1,591,884

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Solution

The third proportional to 738,966 and 1,591,884 is: 3,429,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,966 : 1,591,884 = 1,591,884 : x
  2. Step 2: Convert to fraction form
    738,966/1,591,884 = 1,591,884/x
  3. Step 3: Cross multiply
    738,966x = 1,591,884 × 1,591,884
  4. Step 4: Simplify right side
    738,966x = 2,534,094,669,456
  5. Step 5: Solve for x
    x = 2,534,094,669,456/738,966
  6. Step 6: Final answer
    x = 3,429,243.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.