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Finding the Third Proportional to 494,880 and 1,078,080

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Solution

The third proportional to 494,880 and 1,078,080 is: 2,348,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,880 : 1,078,080 = 1,078,080 : x
  2. Step 2: Convert to fraction form
    494,880/1,078,080 = 1,078,080/x
  3. Step 3: Cross multiply
    494,880x = 1,078,080 × 1,078,080
  4. Step 4: Simplify right side
    494,880x = 1,162,256,486,400
  5. Step 5: Solve for x
    x = 1,162,256,486,400/494,880
  6. Step 6: Final answer
    x = 2,348,562.25

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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.