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Finding the Third Proportional to 2,126,829 and 3,269,089

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Solution

The third proportional to 2,126,829 and 3,269,089 is: 5,024,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126,829 : 3,269,089 = 3,269,089 : x
  2. Step 2: Convert to fraction form
    2,126,829/3,269,089 = 3,269,089/x
  3. Step 3: Cross multiply
    2,126,829x = 3,269,089 × 3,269,089
  4. Step 4: Simplify right side
    2,126,829x = 10,686,942,889,921
  5. Step 5: Solve for x
    x = 10,686,942,889,921/2,126,829
  6. Step 6: Final answer
    x = 5,024,824.70

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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.