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Finding the Third Proportional to 1,044.84 and 1,619.72

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Solution

The third proportional to 1,044.84 and 1,619.72 is: 2,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.84 : 1,619.72 = 1,619.72 : x
  2. Step 2: Convert to fraction form
    1,044.84/1,619.72 = 1,619.72/x
  3. Step 3: Cross multiply
    1,044.84x = 1,619.72 × 1,619.72
  4. Step 4: Simplify right side
    1,044.84x = 2,623,488.83
  5. Step 5: Solve for x
    x = 2,623,488.83/1,044.84
  6. Step 6: Final answer
    x = 2,510.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.