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Finding the Third Proportional to 713,986 and 1,106,147

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Solution

The third proportional to 713,986 and 1,106,147 is: 1,713,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,986 : 1,106,147 = 1,106,147 : x
  2. Step 2: Convert to fraction form
    713,986/1,106,147 = 1,106,147/x
  3. Step 3: Cross multiply
    713,986x = 1,106,147 × 1,106,147
  4. Step 4: Simplify right side
    713,986x = 1,223,561,185,609
  5. Step 5: Solve for x
    x = 1,223,561,185,609/713,986
  6. Step 6: Final answer
    x = 1,713,704.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.