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Finding the Third Proportional to 722,584 and 1,016,660

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Solution

The third proportional to 722,584 and 1,016,660 is: 1,430,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,584 : 1,016,660 = 1,016,660 : x
  2. Step 2: Convert to fraction form
    722,584/1,016,660 = 1,016,660/x
  3. Step 3: Cross multiply
    722,584x = 1,016,660 × 1,016,660
  4. Step 4: Simplify right side
    722,584x = 1,033,597,555,600
  5. Step 5: Solve for x
    x = 1,033,597,555,600/722,584
  6. Step 6: Final answer
    x = 1,430,418.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.