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Finding the Third Proportional to 467,218.13 and 1,005,513.75

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Solution

The third proportional to 467,218.13 and 1,005,513.75 is: 2,163,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,218.13 : 1,005,513.75 = 1,005,513.75 : x
  2. Step 2: Convert to fraction form
    467,218.13/1,005,513.75 = 1,005,513.75/x
  3. Step 3: Cross multiply
    467,218.13x = 1,005,513.75 × 1,005,513.75
  4. Step 4: Simplify right side
    467,218.13x = 1,011,057,901,439.06
  5. Step 5: Solve for x
    x = 1,011,057,901,439.06/467,218.13
  6. Step 6: Final answer
    x = 2,163,995.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.