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Finding the Third Proportional to 695,568 and 1,524,480

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Solution

The third proportional to 695,568 and 1,524,480 is: 3,341,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,568 : 1,524,480 = 1,524,480 : x
  2. Step 2: Convert to fraction form
    695,568/1,524,480 = 1,524,480/x
  3. Step 3: Cross multiply
    695,568x = 1,524,480 × 1,524,480
  4. Step 4: Simplify right side
    695,568x = 2,324,039,270,400
  5. Step 5: Solve for x
    x = 2,324,039,270,400/695,568
  6. Step 6: Final answer
    x = 3,341,210.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.