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Finding the Third Proportional to 462,214 and 993,414

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Solution

The third proportional to 462,214 and 993,414 is: 2,135,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,214 : 993,414 = 993,414 : x
  2. Step 2: Convert to fraction form
    462,214/993,414 = 993,414/x
  3. Step 3: Cross multiply
    462,214x = 993,414 × 993,414
  4. Step 4: Simplify right side
    462,214x = 986,871,375,396
  5. Step 5: Solve for x
    x = 986,871,375,396/462,214
  6. Step 6: Final answer
    x = 2,135,096.24

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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.