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Finding the Third Proportional to 971,264 and 1,463,376

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Solution

The third proportional to 971,264 and 1,463,376 is: 2,204,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,264 : 1,463,376 = 1,463,376 : x
  2. Step 2: Convert to fraction form
    971,264/1,463,376 = 1,463,376/x
  3. Step 3: Cross multiply
    971,264x = 1,463,376 × 1,463,376
  4. Step 4: Simplify right side
    971,264x = 2,141,469,317,376
  5. Step 5: Solve for x
    x = 2,141,469,317,376/971,264
  6. Step 6: Final answer
    x = 2,204,827.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.