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Finding the Third Proportional to 2,142,224 and 3,131,237

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Solution

The third proportional to 2,142,224 and 3,131,237 is: 4,576,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,224 : 3,131,237 = 3,131,237 : x
  2. Step 2: Convert to fraction form
    2,142,224/3,131,237 = 3,131,237/x
  3. Step 3: Cross multiply
    2,142,224x = 3,131,237 × 3,131,237
  4. Step 4: Simplify right side
    2,142,224x = 9,804,645,150,169
  5. Step 5: Solve for x
    x = 9,804,645,150,169/2,142,224
  6. Step 6: Final answer
    x = 4,576,853.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.