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Finding the Third Proportional to 709,840 and 1,548,144

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Solution

The third proportional to 709,840 and 1,548,144 is: 3,376,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,840 : 1,548,144 = 1,548,144 : x
  2. Step 2: Convert to fraction form
    709,840/1,548,144 = 1,548,144/x
  3. Step 3: Cross multiply
    709,840x = 1,548,144 × 1,548,144
  4. Step 4: Simplify right side
    709,840x = 2,396,749,844,736
  5. Step 5: Solve for x
    x = 2,396,749,844,736/709,840
  6. Step 6: Final answer
    x = 3,376,464.90

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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.