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Finding the Third Proportional to 598,565 and 1,313,538

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Solution

The third proportional to 598,565 and 1,313,538 is: 2,882,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,565 : 1,313,538 = 1,313,538 : x
  2. Step 2: Convert to fraction form
    598,565/1,313,538 = 1,313,538/x
  3. Step 3: Cross multiply
    598,565x = 1,313,538 × 1,313,538
  4. Step 4: Simplify right side
    598,565x = 1,725,382,077,444
  5. Step 5: Solve for x
    x = 1,725,382,077,444/598,565
  6. Step 6: Final answer
    x = 2,882,530.85

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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.