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Finding the Third Proportional to 588,492 and 1,274,481

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Solution

The third proportional to 588,492 and 1,274,481 is: 2,760,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,492 : 1,274,481 = 1,274,481 : x
  2. Step 2: Convert to fraction form
    588,492/1,274,481 = 1,274,481/x
  3. Step 3: Cross multiply
    588,492x = 1,274,481 × 1,274,481
  4. Step 4: Simplify right side
    588,492x = 1,624,301,819,361
  5. Step 5: Solve for x
    x = 1,624,301,819,361/588,492
  6. Step 6: Final answer
    x = 2,760,108.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.