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Finding the Third Proportional to 3,832,400 and 6,011,913

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Solution

The third proportional to 3,832,400 and 6,011,913 is: 9,430,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832,400 : 6,011,913 = 6,011,913 : x
  2. Step 2: Convert to fraction form
    3,832,400/6,011,913 = 6,011,913/x
  3. Step 3: Cross multiply
    3,832,400x = 6,011,913 × 6,011,913
  4. Step 4: Simplify right side
    3,832,400x = 36,143,097,919,569
  5. Step 5: Solve for x
    x = 36,143,097,919,569/3,832,400
  6. Step 6: Final answer
    x = 9,430,930.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.