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Finding the Third Proportional to 706,728 and 1,125,652

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Solution

The third proportional to 706,728 and 1,125,652 is: 1,792,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,728 : 1,125,652 = 1,125,652 : x
  2. Step 2: Convert to fraction form
    706,728/1,125,652 = 1,125,652/x
  3. Step 3: Cross multiply
    706,728x = 1,125,652 × 1,125,652
  4. Step 4: Simplify right side
    706,728x = 1,267,092,425,104
  5. Step 5: Solve for x
    x = 1,267,092,425,104/706,728
  6. Step 6: Final answer
    x = 1,792,899.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.