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Finding the Third Proportional to 467,393.06 and 1,016,678.25

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Solution

The third proportional to 467,393.06 and 1,016,678.25 is: 2,211,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,393.06 : 1,016,678.25 = 1,016,678.25 : x
  2. Step 2: Convert to fraction form
    467,393.06/1,016,678.25 = 1,016,678.25/x
  3. Step 3: Cross multiply
    467,393.06x = 1,016,678.25 × 1,016,678.25
  4. Step 4: Simplify right side
    467,393.06x = 1,033,634,664,023.06
  5. Step 5: Solve for x
    x = 1,033,634,664,023.06/467,393.06
  6. Step 6: Final answer
    x = 2,211,489.10

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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.