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Finding the Third Proportional to 413,950 and 907,388

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Solution

The third proportional to 413,950 and 907,388 is: 1,989,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,950 : 907,388 = 907,388 : x
  2. Step 2: Convert to fraction form
    413,950/907,388 = 907,388/x
  3. Step 3: Cross multiply
    413,950x = 907,388 × 907,388
  4. Step 4: Simplify right side
    413,950x = 823,352,982,544
  5. Step 5: Solve for x
    x = 823,352,982,544/413,950
  6. Step 6: Final answer
    x = 1,989,015.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.