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Finding the Third Proportional to 664,350 and 1,441,236

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Solution

The third proportional to 664,350 and 1,441,236 is: 3,126,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,350 : 1,441,236 = 1,441,236 : x
  2. Step 2: Convert to fraction form
    664,350/1,441,236 = 1,441,236/x
  3. Step 3: Cross multiply
    664,350x = 1,441,236 × 1,441,236
  4. Step 4: Simplify right side
    664,350x = 2,077,161,207,696
  5. Step 5: Solve for x
    x = 2,077,161,207,696/664,350
  6. Step 6: Final answer
    x = 3,126,606.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.