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Finding the Third Proportional to 636,907 and 994,119

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Solution

The third proportional to 636,907 and 994,119 is: 1,551,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,907 : 994,119 = 994,119 : x
  2. Step 2: Convert to fraction form
    636,907/994,119 = 994,119/x
  3. Step 3: Cross multiply
    636,907x = 994,119 × 994,119
  4. Step 4: Simplify right side
    636,907x = 988,272,586,161
  5. Step 5: Solve for x
    x = 988,272,586,161/636,907
  6. Step 6: Final answer
    x = 1,551,674.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.