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Finding the Third Proportional to 548,710 and 1,197,967

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Solution

The third proportional to 548,710 and 1,197,967 is: 2,615,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,710 : 1,197,967 = 1,197,967 : x
  2. Step 2: Convert to fraction form
    548,710/1,197,967 = 1,197,967/x
  3. Step 3: Cross multiply
    548,710x = 1,197,967 × 1,197,967
  4. Step 4: Simplify right side
    548,710x = 1,435,124,933,089
  5. Step 5: Solve for x
    x = 1,435,124,933,089/548,710
  6. Step 6: Final answer
    x = 2,615,452.49

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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.