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Finding the Third Proportional to 689,736 and 1,008,342

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Solution

The third proportional to 689,736 and 1,008,342 is: 1,474,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,736 : 1,008,342 = 1,008,342 : x
  2. Step 2: Convert to fraction form
    689,736/1,008,342 = 1,008,342/x
  3. Step 3: Cross multiply
    689,736x = 1,008,342 × 1,008,342
  4. Step 4: Simplify right side
    689,736x = 1,016,753,588,964
  5. Step 5: Solve for x
    x = 1,016,753,588,964/689,736
  6. Step 6: Final answer
    x = 1,474,119.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.