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Finding the Third Proportional to 598,324 and 1,290,568

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Solution

The third proportional to 598,324 and 1,290,568 is: 2,783,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,324 : 1,290,568 = 1,290,568 : x
  2. Step 2: Convert to fraction form
    598,324/1,290,568 = 1,290,568/x
  3. Step 3: Cross multiply
    598,324x = 1,290,568 × 1,290,568
  4. Step 4: Simplify right side
    598,324x = 1,665,565,762,624
  5. Step 5: Solve for x
    x = 1,665,565,762,624/598,324
  6. Step 6: Final answer
    x = 2,783,718.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.