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Finding the Third Proportional to 1,107,102.94 and 1,654,890.75

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Solution

The third proportional to 1,107,102.94 and 1,654,890.75 is: 2,473,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,102.94 : 1,654,890.75 = 1,654,890.75 : x
  2. Step 2: Convert to fraction form
    1,107,102.94/1,654,890.75 = 1,654,890.75/x
  3. Step 3: Cross multiply
    1,107,102.94x = 1,654,890.75 × 1,654,890.75
  4. Step 4: Simplify right side
    1,107,102.94x = 2,738,663,394,435.56
  5. Step 5: Solve for x
    x = 2,738,663,394,435.56/1,107,102.94
  6. Step 6: Final answer
    x = 2,473,720.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.