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Finding the Third Proportional to 439,515 and 947,286

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Solution

The third proportional to 439,515 and 947,286 is: 2,041,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,515 : 947,286 = 947,286 : x
  2. Step 2: Convert to fraction form
    439,515/947,286 = 947,286/x
  3. Step 3: Cross multiply
    439,515x = 947,286 × 947,286
  4. Step 4: Simplify right side
    439,515x = 897,350,765,796
  5. Step 5: Solve for x
    x = 897,350,765,796/439,515
  6. Step 6: Final answer
    x = 2,041,684.05

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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.