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Finding the Third Proportional to 1,505,204 and 3,216,472

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Solution

The third proportional to 1,505,204 and 3,216,472 is: 6,873,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,204 : 3,216,472 = 3,216,472 : x
  2. Step 2: Convert to fraction form
    1,505,204/3,216,472 = 3,216,472/x
  3. Step 3: Cross multiply
    1,505,204x = 3,216,472 × 3,216,472
  4. Step 4: Simplify right side
    1,505,204x = 10,345,692,126,784
  5. Step 5: Solve for x
    x = 10,345,692,126,784/1,505,204
  6. Step 6: Final answer
    x = 6,873,282.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.