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Finding the Third Proportional to 616,396 and 1,324,456

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Solution

The third proportional to 616,396 and 1,324,456 is: 2,845,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,396 : 1,324,456 = 1,324,456 : x
  2. Step 2: Convert to fraction form
    616,396/1,324,456 = 1,324,456/x
  3. Step 3: Cross multiply
    616,396x = 1,324,456 × 1,324,456
  4. Step 4: Simplify right side
    616,396x = 1,754,183,695,936
  5. Step 5: Solve for x
    x = 1,754,183,695,936/616,396
  6. Step 6: Final answer
    x = 2,845,871.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.