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Finding the Third Proportional to 579,294 and 1,228,508

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Solution

The third proportional to 579,294 and 1,228,508 is: 2,605,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,294 : 1,228,508 = 1,228,508 : x
  2. Step 2: Convert to fraction form
    579,294/1,228,508 = 1,228,508/x
  3. Step 3: Cross multiply
    579,294x = 1,228,508 × 1,228,508
  4. Step 4: Simplify right side
    579,294x = 1,509,231,906,064
  5. Step 5: Solve for x
    x = 1,509,231,906,064/579,294
  6. Step 6: Final answer
    x = 2,605,295.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.