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Finding the Third Proportional to 694,843 and 1,038,172

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Solution

The third proportional to 694,843 and 1,038,172 is: 1,551,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,843 : 1,038,172 = 1,038,172 : x
  2. Step 2: Convert to fraction form
    694,843/1,038,172 = 1,038,172/x
  3. Step 3: Cross multiply
    694,843x = 1,038,172 × 1,038,172
  4. Step 4: Simplify right side
    694,843x = 1,077,801,101,584
  5. Step 5: Solve for x
    x = 1,077,801,101,584/694,843
  6. Step 6: Final answer
    x = 1,551,143.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.