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Finding the Third Proportional to 467,628.19 and 1,005,189.75

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Solution

The third proportional to 467,628.19 and 1,005,189.75 is: 2,160,704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,628.19 : 1,005,189.75 = 1,005,189.75 : x
  2. Step 2: Convert to fraction form
    467,628.19/1,005,189.75 = 1,005,189.75/x
  3. Step 3: Cross multiply
    467,628.19x = 1,005,189.75 × 1,005,189.75
  4. Step 4: Simplify right side
    467,628.19x = 1,010,406,433,505.06
  5. Step 5: Solve for x
    x = 1,010,406,433,505.06/467,628.19
  6. Step 6: Final answer
    x = 2,160,704.72

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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.