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Finding the Third Proportional to 4,427,034 and 6,769,017

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Solution

The third proportional to 4,427,034 and 6,769,017 is: 10,349,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427,034 : 6,769,017 = 6,769,017 : x
  2. Step 2: Convert to fraction form
    4,427,034/6,769,017 = 6,769,017/x
  3. Step 3: Cross multiply
    4,427,034x = 6,769,017 × 6,769,017
  4. Step 4: Simplify right side
    4,427,034x = 45,819,591,146,289
  5. Step 5: Solve for x
    x = 45,819,591,146,289/4,427,034
  6. Step 6: Final answer
    x = 10,349,952.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.