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Finding the Third Proportional to 709,832 and 1,063,652

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Solution

The third proportional to 709,832 and 1,063,652 is: 1,593,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,832 : 1,063,652 = 1,063,652 : x
  2. Step 2: Convert to fraction form
    709,832/1,063,652 = 1,063,652/x
  3. Step 3: Cross multiply
    709,832x = 1,063,652 × 1,063,652
  4. Step 4: Simplify right side
    709,832x = 1,131,355,577,104
  5. Step 5: Solve for x
    x = 1,131,355,577,104/709,832
  6. Step 6: Final answer
    x = 1,593,835.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.