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Finding the Third Proportional to 997,923 and 1,563,645

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Solution

The third proportional to 997,923 and 1,563,645 is: 2,450,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,923 : 1,563,645 = 1,563,645 : x
  2. Step 2: Convert to fraction form
    997,923/1,563,645 = 1,563,645/x
  3. Step 3: Cross multiply
    997,923x = 1,563,645 × 1,563,645
  4. Step 4: Simplify right side
    997,923x = 2,444,985,686,025
  5. Step 5: Solve for x
    x = 2,444,985,686,025/997,923
  6. Step 6: Final answer
    x = 2,450,074.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.