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Finding the Third Proportional to 579,664 and 1,236,366

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Solution

The third proportional to 579,664 and 1,236,366 is: 2,637,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,664 : 1,236,366 = 1,236,366 : x
  2. Step 2: Convert to fraction form
    579,664/1,236,366 = 1,236,366/x
  3. Step 3: Cross multiply
    579,664x = 1,236,366 × 1,236,366
  4. Step 4: Simplify right side
    579,664x = 1,528,600,885,956
  5. Step 5: Solve for x
    x = 1,528,600,885,956/579,664
  6. Step 6: Final answer
    x = 2,637,046.44

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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.