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Finding the Third Proportional to 582,531 and 1,270,965

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Solution

The third proportional to 582,531 and 1,270,965 is: 2,772,988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,531 : 1,270,965 = 1,270,965 : x
  2. Step 2: Convert to fraction form
    582,531/1,270,965 = 1,270,965/x
  3. Step 3: Cross multiply
    582,531x = 1,270,965 × 1,270,965
  4. Step 4: Simplify right side
    582,531x = 1,615,352,031,225
  5. Step 5: Solve for x
    x = 1,615,352,031,225/582,531
  6. Step 6: Final answer
    x = 2,772,988.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.