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Finding the Third Proportional to 437,649 and 905,646

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Solution

The third proportional to 437,649 and 905,646 is: 1,874,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,649 : 905,646 = 905,646 : x
  2. Step 2: Convert to fraction form
    437,649/905,646 = 905,646/x
  3. Step 3: Cross multiply
    437,649x = 905,646 × 905,646
  4. Step 4: Simplify right side
    437,649x = 820,194,677,316
  5. Step 5: Solve for x
    x = 820,194,677,316/437,649
  6. Step 6: Final answer
    x = 1,874,092.43

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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.