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Finding the Third Proportional to 2,257,274 and 4,825,156

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Solution

The third proportional to 2,257,274 and 4,825,156 is: 10,314,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,274 : 4,825,156 = 4,825,156 : x
  2. Step 2: Convert to fraction form
    2,257,274/4,825,156 = 4,825,156/x
  3. Step 3: Cross multiply
    2,257,274x = 4,825,156 × 4,825,156
  4. Step 4: Simplify right side
    2,257,274x = 23,282,130,424,336
  5. Step 5: Solve for x
    x = 23,282,130,424,336/2,257,274
  6. Step 6: Final answer
    x = 10,314,268.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.