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Finding the Third Proportional to 3,257,856 and 4,284,143

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Solution

The third proportional to 3,257,856 and 4,284,143 is: 5,633,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257,856 : 4,284,143 = 4,284,143 : x
  2. Step 2: Convert to fraction form
    3,257,856/4,284,143 = 4,284,143/x
  3. Step 3: Cross multiply
    3,257,856x = 4,284,143 × 4,284,143
  4. Step 4: Simplify right side
    3,257,856x = 18,353,881,244,449
  5. Step 5: Solve for x
    x = 18,353,881,244,449/3,257,856
  6. Step 6: Final answer
    x = 5,633,730.05

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.