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Finding the Third Proportional to 726,086 and 1,065,801

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Solution

The third proportional to 726,086 and 1,065,801 is: 1,564,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,086 : 1,065,801 = 1,065,801 : x
  2. Step 2: Convert to fraction form
    726,086/1,065,801 = 1,065,801/x
  3. Step 3: Cross multiply
    726,086x = 1,065,801 × 1,065,801
  4. Step 4: Simplify right side
    726,086x = 1,135,931,771,601
  5. Step 5: Solve for x
    x = 1,135,931,771,601/726,086
  6. Step 6: Final answer
    x = 1,564,458.99

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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.