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Finding the Third Proportional to 682,496 and 1,594,952

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Solution

The third proportional to 682,496 and 1,594,952 is: 3,727,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,496 : 1,594,952 = 1,594,952 : x
  2. Step 2: Convert to fraction form
    682,496/1,594,952 = 1,594,952/x
  3. Step 3: Cross multiply
    682,496x = 1,594,952 × 1,594,952
  4. Step 4: Simplify right side
    682,496x = 2,543,871,882,304
  5. Step 5: Solve for x
    x = 2,543,871,882,304/682,496
  6. Step 6: Final answer
    x = 3,727,306.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.