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Finding the Third Proportional to 548,718 and 1,197,984

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Solution

The third proportional to 548,718 and 1,197,984 is: 2,615,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,718 : 1,197,984 = 1,197,984 : x
  2. Step 2: Convert to fraction form
    548,718/1,197,984 = 1,197,984/x
  3. Step 3: Cross multiply
    548,718x = 1,197,984 × 1,197,984
  4. Step 4: Simplify right side
    548,718x = 1,435,165,664,256
  5. Step 5: Solve for x
    x = 1,435,165,664,256/548,718
  6. Step 6: Final answer
    x = 2,615,488.58

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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.