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Finding the Third Proportional to 397,013 and 937,066

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Solution

The third proportional to 397,013 and 937,066 is: 2,211,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,013 : 937,066 = 937,066 : x
  2. Step 2: Convert to fraction form
    397,013/937,066 = 937,066/x
  3. Step 3: Cross multiply
    397,013x = 937,066 × 937,066
  4. Step 4: Simplify right side
    397,013x = 878,092,688,356
  5. Step 5: Solve for x
    x = 878,092,688,356/397,013
  6. Step 6: Final answer
    x = 2,211,747.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.