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Finding the Third Proportional to 709,823.25 and 1,548,107.44

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Solution

The third proportional to 709,823.25 and 1,548,107.44 is: 3,376,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,823.25 : 1,548,107.44 = 1,548,107.44 : x
  2. Step 2: Convert to fraction form
    709,823.25/1,548,107.44 = 1,548,107.44/x
  3. Step 3: Cross multiply
    709,823.25x = 1,548,107.44 × 1,548,107.44
  4. Step 4: Simplify right side
    709,823.25x = 2,396,636,638,042.82
  5. Step 5: Solve for x
    x = 2,396,636,638,042.82/709,823.25
  6. Step 6: Final answer
    x = 3,376,385.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.