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Finding the Third Proportional to 655,591 and 989,381

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Solution

The third proportional to 655,591 and 989,381 is: 1,493,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,591 : 989,381 = 989,381 : x
  2. Step 2: Convert to fraction form
    655,591/989,381 = 989,381/x
  3. Step 3: Cross multiply
    655,591x = 989,381 × 989,381
  4. Step 4: Simplify right side
    655,591x = 978,874,763,161
  5. Step 5: Solve for x
    x = 978,874,763,161/655,591
  6. Step 6: Final answer
    x = 1,493,118.06

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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.