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Finding the Third Proportional to 930,914 and 2,027,716

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Solution

The third proportional to 930,914 and 2,027,716 is: 4,416,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,914 : 2,027,716 = 2,027,716 : x
  2. Step 2: Convert to fraction form
    930,914/2,027,716 = 2,027,716/x
  3. Step 3: Cross multiply
    930,914x = 2,027,716 × 2,027,716
  4. Step 4: Simplify right side
    930,914x = 4,111,632,176,656
  5. Step 5: Solve for x
    x = 4,111,632,176,656/930,914
  6. Step 6: Final answer
    x = 4,416,769.09

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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.