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Finding the Third Proportional to 457,056 and 969,408

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Solution

The third proportional to 457,056 and 969,408 is: 2,056,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,056 : 969,408 = 969,408 : x
  2. Step 2: Convert to fraction form
    457,056/969,408 = 969,408/x
  3. Step 3: Cross multiply
    457,056x = 969,408 × 969,408
  4. Step 4: Simplify right side
    457,056x = 939,751,870,464
  5. Step 5: Solve for x
    x = 939,751,870,464/457,056
  6. Step 6: Final answer
    x = 2,056,097.88

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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.