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Finding the Third Proportional to 2,409,716 and 3,212,596

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Solution

The third proportional to 2,409,716 and 3,212,596 is: 4,282,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,716 : 3,212,596 = 3,212,596 : x
  2. Step 2: Convert to fraction form
    2,409,716/3,212,596 = 3,212,596/x
  3. Step 3: Cross multiply
    2,409,716x = 3,212,596 × 3,212,596
  4. Step 4: Simplify right side
    2,409,716x = 10,320,773,059,216
  5. Step 5: Solve for x
    x = 10,320,773,059,216/2,409,716
  6. Step 6: Final answer
    x = 4,282,983.16

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.