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Finding the Third Proportional to 3,569,886 and 5,438,496

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Solution

The third proportional to 3,569,886 and 5,438,496 is: 8,285,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569,886 : 5,438,496 = 5,438,496 : x
  2. Step 2: Convert to fraction form
    3,569,886/5,438,496 = 5,438,496/x
  3. Step 3: Cross multiply
    3,569,886x = 5,438,496 × 5,438,496
  4. Step 4: Simplify right side
    3,569,886x = 29,577,238,742,016
  5. Step 5: Solve for x
    x = 29,577,238,742,016/3,569,886
  6. Step 6: Final answer
    x = 8,285,205.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.