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Finding the Third Proportional to 585,624 and 1,222,080

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Solution

The third proportional to 585,624 and 1,222,080 is: 2,550,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,624 : 1,222,080 = 1,222,080 : x
  2. Step 2: Convert to fraction form
    585,624/1,222,080 = 1,222,080/x
  3. Step 3: Cross multiply
    585,624x = 1,222,080 × 1,222,080
  4. Step 4: Simplify right side
    585,624x = 1,493,479,526,400
  5. Step 5: Solve for x
    x = 1,493,479,526,400/585,624
  6. Step 6: Final answer
    x = 2,550,236.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.