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Finding the Third Proportional to 467,486.44 and 1,008,784.13

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Solution

The third proportional to 467,486.44 and 1,008,784.13 is: 2,176,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,486.44 : 1,008,784.13 = 1,008,784.13 : x
  2. Step 2: Convert to fraction form
    467,486.44/1,008,784.13 = 1,008,784.13/x
  3. Step 3: Cross multiply
    467,486.44x = 1,008,784.13 × 1,008,784.13
  4. Step 4: Simplify right side
    467,486.44x = 1,017,645,410,852.02
  5. Step 5: Solve for x
    x = 1,017,645,410,852.02/467,486.44
  6. Step 6: Final answer
    x = 2,176,844.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.