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Finding the Third Proportional to 585,180 and 1,264,581

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Solution

The third proportional to 585,180 and 1,264,581 is: 2,732,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,180 : 1,264,581 = 1,264,581 : x
  2. Step 2: Convert to fraction form
    585,180/1,264,581 = 1,264,581/x
  3. Step 3: Cross multiply
    585,180x = 1,264,581 × 1,264,581
  4. Step 4: Simplify right side
    585,180x = 1,599,165,105,561
  5. Step 5: Solve for x
    x = 1,599,165,105,561/585,180
  6. Step 6: Final answer
    x = 2,732,774.71

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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.