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Finding the Third Proportional to 588,072 and 1,275,720

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Solution

The third proportional to 588,072 and 1,275,720 is: 2,767,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,072 : 1,275,720 = 1,275,720 : x
  2. Step 2: Convert to fraction form
    588,072/1,275,720 = 1,275,720/x
  3. Step 3: Cross multiply
    588,072x = 1,275,720 × 1,275,720
  4. Step 4: Simplify right side
    588,072x = 1,627,461,518,400
  5. Step 5: Solve for x
    x = 1,627,461,518,400/588,072
  6. Step 6: Final answer
    x = 2,767,452.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.