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Finding the Third Proportional to 463,824.50 and 1,006,962

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Solution

The third proportional to 463,824.50 and 1,006,962 is: 2,186,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,824.50 : 1,006,962 = 1,006,962 : x
  2. Step 2: Convert to fraction form
    463,824.50/1,006,962 = 1,006,962/x
  3. Step 3: Cross multiply
    463,824.50x = 1,006,962 × 1,006,962
  4. Step 4: Simplify right side
    463,824.50x = 1,013,972,469,444
  5. Step 5: Solve for x
    x = 1,013,972,469,444/463,824.50
  6. Step 6: Final answer
    x = 2,186,112.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.