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Finding the Third Proportional to 548,454 and 1,222,940

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Solution

The third proportional to 548,454 and 1,222,940 is: 2,726,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,454 : 1,222,940 = 1,222,940 : x
  2. Step 2: Convert to fraction form
    548,454/1,222,940 = 1,222,940/x
  3. Step 3: Cross multiply
    548,454x = 1,222,940 × 1,222,940
  4. Step 4: Simplify right side
    548,454x = 1,495,582,243,600
  5. Step 5: Solve for x
    x = 1,495,582,243,600/548,454
  6. Step 6: Final answer
    x = 2,726,905.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.