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Finding the Third Proportional to 694,614 and 1,019,238

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Solution

The third proportional to 694,614 and 1,019,238 is: 1,495,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,614 : 1,019,238 = 1,019,238 : x
  2. Step 2: Convert to fraction form
    694,614/1,019,238 = 1,019,238/x
  3. Step 3: Cross multiply
    694,614x = 1,019,238 × 1,019,238
  4. Step 4: Simplify right side
    694,614x = 1,038,846,100,644
  5. Step 5: Solve for x
    x = 1,038,846,100,644/694,614
  6. Step 6: Final answer
    x = 1,495,573.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.