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Finding the Third Proportional to 891,966 and 1,271,517

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Solution

The third proportional to 891,966 and 1,271,517 is: 1,812,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,966 : 1,271,517 = 1,271,517 : x
  2. Step 2: Convert to fraction form
    891,966/1,271,517 = 1,271,517/x
  3. Step 3: Cross multiply
    891,966x = 1,271,517 × 1,271,517
  4. Step 4: Simplify right side
    891,966x = 1,616,755,481,289
  5. Step 5: Solve for x
    x = 1,616,755,481,289/891,966
  6. Step 6: Final answer
    x = 1,812,575.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.