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Finding the Third Proportional to 945,025 and 2,021,186

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Solution

The third proportional to 945,025 and 2,021,186 is: 4,322,841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,025 : 2,021,186 = 2,021,186 : x
  2. Step 2: Convert to fraction form
    945,025/2,021,186 = 2,021,186/x
  3. Step 3: Cross multiply
    945,025x = 2,021,186 × 2,021,186
  4. Step 4: Simplify right side
    945,025x = 4,085,192,846,596
  5. Step 5: Solve for x
    x = 4,085,192,846,596/945,025
  6. Step 6: Final answer
    x = 4,322,841.03

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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.