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Finding the Third Proportional to 2,322,214 and 3,586,865

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Solution

The third proportional to 2,322,214 and 3,586,865 is: 5,540,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322,214 : 3,586,865 = 3,586,865 : x
  2. Step 2: Convert to fraction form
    2,322,214/3,586,865 = 3,586,865/x
  3. Step 3: Cross multiply
    2,322,214x = 3,586,865 × 3,586,865
  4. Step 4: Simplify right side
    2,322,214x = 12,865,600,528,225
  5. Step 5: Solve for x
    x = 12,865,600,528,225/2,322,214
  6. Step 6: Final answer
    x = 5,540,230.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.