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Finding the Third Proportional to 694,162 and 1,048,639

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Solution

The third proportional to 694,162 and 1,048,639 is: 1,584,131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,162 : 1,048,639 = 1,048,639 : x
  2. Step 2: Convert to fraction form
    694,162/1,048,639 = 1,048,639/x
  3. Step 3: Cross multiply
    694,162x = 1,048,639 × 1,048,639
  4. Step 4: Simplify right side
    694,162x = 1,099,643,752,321
  5. Step 5: Solve for x
    x = 1,099,643,752,321/694,162
  6. Step 6: Final answer
    x = 1,584,131.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.