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Finding the Third Proportional to 456,138 and 971,325

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Solution

The third proportional to 456,138 and 971,325 is: 2,068,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,138 : 971,325 = 971,325 : x
  2. Step 2: Convert to fraction form
    456,138/971,325 = 971,325/x
  3. Step 3: Cross multiply
    456,138x = 971,325 × 971,325
  4. Step 4: Simplify right side
    456,138x = 943,472,255,625
  5. Step 5: Solve for x
    x = 943,472,255,625/456,138
  6. Step 6: Final answer
    x = 2,068,392.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.