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Finding the Third Proportional to 457,058 and 969,412

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Solution

The third proportional to 457,058 and 969,412 is: 2,056,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,058 : 969,412 = 969,412 : x
  2. Step 2: Convert to fraction form
    457,058/969,412 = 969,412/x
  3. Step 3: Cross multiply
    457,058x = 969,412 × 969,412
  4. Step 4: Simplify right side
    457,058x = 939,759,625,744
  5. Step 5: Solve for x
    x = 939,759,625,744/457,058
  6. Step 6: Final answer
    x = 2,056,105.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.