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Finding the Third Proportional to 419,356 and 905,464

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Solution

The third proportional to 419,356 and 905,464 is: 1,955,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,356 : 905,464 = 905,464 : x
  2. Step 2: Convert to fraction form
    419,356/905,464 = 905,464/x
  3. Step 3: Cross multiply
    419,356x = 905,464 × 905,464
  4. Step 4: Simplify right side
    419,356x = 819,865,055,296
  5. Step 5: Solve for x
    x = 819,865,055,296/419,356
  6. Step 6: Final answer
    x = 1,955,057.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.