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Finding the Third Proportional to 694,166 and 1,048,644

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Solution

The third proportional to 694,166 and 1,048,644 is: 1,584,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,166 : 1,048,644 = 1,048,644 : x
  2. Step 2: Convert to fraction form
    694,166/1,048,644 = 1,048,644/x
  3. Step 3: Cross multiply
    694,166x = 1,048,644 × 1,048,644
  4. Step 4: Simplify right side
    694,166x = 1,099,654,238,736
  5. Step 5: Solve for x
    x = 1,099,654,238,736/694,166
  6. Step 6: Final answer
    x = 1,584,137.28

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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.