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Finding the Third Proportional to 701,814 and 1,003,620

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Solution

The third proportional to 701,814 and 1,003,620 is: 1,435,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,814 : 1,003,620 = 1,003,620 : x
  2. Step 2: Convert to fraction form
    701,814/1,003,620 = 1,003,620/x
  3. Step 3: Cross multiply
    701,814x = 1,003,620 × 1,003,620
  4. Step 4: Simplify right side
    701,814x = 1,007,253,104,400
  5. Step 5: Solve for x
    x = 1,007,253,104,400/701,814
  6. Step 6: Final answer
    x = 1,435,213.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.