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Finding the Third Proportional to 997,922.25 and 1,563,642

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Solution

The third proportional to 997,922.25 and 1,563,642 is: 2,450,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,922.25 : 1,563,642 = 1,563,642 : x
  2. Step 2: Convert to fraction form
    997,922.25/1,563,642 = 1,563,642/x
  3. Step 3: Cross multiply
    997,922.25x = 1,563,642 × 1,563,642
  4. Step 4: Simplify right side
    997,922.25x = 2,444,976,304,164
  5. Step 5: Solve for x
    x = 2,444,976,304,164/997,922.25
  6. Step 6: Final answer
    x = 2,450,066.93

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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.