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Finding the Third Proportional to 997,922 and 1,563,337

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Solution

The third proportional to 997,922 and 1,563,337 is: 2,449,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,922 : 1,563,337 = 1,563,337 : x
  2. Step 2: Convert to fraction form
    997,922/1,563,337 = 1,563,337/x
  3. Step 3: Cross multiply
    997,922x = 1,563,337 × 1,563,337
  4. Step 4: Simplify right side
    997,922x = 2,444,022,575,569
  5. Step 5: Solve for x
    x = 2,444,022,575,569/997,922
  6. Step 6: Final answer
    x = 2,449,111.83

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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.