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Finding the Third Proportional to 2,132,024 and 3,481,035

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Solution

The third proportional to 2,132,024 and 3,481,035 is: 5,683,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132,024 : 3,481,035 = 3,481,035 : x
  2. Step 2: Convert to fraction form
    2,132,024/3,481,035 = 3,481,035/x
  3. Step 3: Cross multiply
    2,132,024x = 3,481,035 × 3,481,035
  4. Step 4: Simplify right side
    2,132,024x = 12,117,604,671,225
  5. Step 5: Solve for x
    x = 12,117,604,671,225/2,132,024
  6. Step 6: Final answer
    x = 5,683,615.51

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.