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Finding the Third Proportional to 997,902 and 1,563,612

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Solution

The third proportional to 997,902 and 1,563,612 is: 2,450,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,902 : 1,563,612 = 1,563,612 : x
  2. Step 2: Convert to fraction form
    997,902/1,563,612 = 1,563,612/x
  3. Step 3: Cross multiply
    997,902x = 1,563,612 × 1,563,612
  4. Step 4: Simplify right side
    997,902x = 2,444,882,486,544
  5. Step 5: Solve for x
    x = 2,444,882,486,544/997,902
  6. Step 6: Final answer
    x = 2,450,022.63

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