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Finding the Third Proportional to 2,322,340 and 3,415,216

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Solution

The third proportional to 2,322,340 and 3,415,216 is: 5,022,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322,340 : 3,415,216 = 3,415,216 : x
  2. Step 2: Convert to fraction form
    2,322,340/3,415,216 = 3,415,216/x
  3. Step 3: Cross multiply
    2,322,340x = 3,415,216 × 3,415,216
  4. Step 4: Simplify right side
    2,322,340x = 11,663,700,326,656
  5. Step 5: Solve for x
    x = 11,663,700,326,656/2,322,340
  6. Step 6: Final answer
    x = 5,022,391.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.