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Finding the Third Proportional to 774,210 and 1,667,068

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Solution

The third proportional to 774,210 and 1,667,068 is: 3,589,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,210 : 1,667,068 = 1,667,068 : x
  2. Step 2: Convert to fraction form
    774,210/1,667,068 = 1,667,068/x
  3. Step 3: Cross multiply
    774,210x = 1,667,068 × 1,667,068
  4. Step 4: Simplify right side
    774,210x = 2,779,115,716,624
  5. Step 5: Solve for x
    x = 2,779,115,716,624/774,210
  6. Step 6: Final answer
    x = 3,589,614.85

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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.