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Finding the Third Proportional to 481,743 and 1,049,280

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Solution

The third proportional to 481,743 and 1,049,280 is: 2,285,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,743 : 1,049,280 = 1,049,280 : x
  2. Step 2: Convert to fraction form
    481,743/1,049,280 = 1,049,280/x
  3. Step 3: Cross multiply
    481,743x = 1,049,280 × 1,049,280
  4. Step 4: Simplify right side
    481,743x = 1,100,988,518,400
  5. Step 5: Solve for x
    x = 1,100,988,518,400/481,743
  6. Step 6: Final answer
    x = 2,285,427.12

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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.