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Finding the Third Proportional to 437,544 and 905,454

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Solution

The third proportional to 437,544 and 905,454 is: 1,873,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,544 : 905,454 = 905,454 : x
  2. Step 2: Convert to fraction form
    437,544/905,454 = 905,454/x
  3. Step 3: Cross multiply
    437,544x = 905,454 × 905,454
  4. Step 4: Simplify right side
    437,544x = 819,846,946,116
  5. Step 5: Solve for x
    x = 819,846,946,116/437,544
  6. Step 6: Final answer
    x = 1,873,747.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.