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Finding the Third Proportional to 612,736 and 897,743

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Solution

The third proportional to 612,736 and 897,743 is: 1,315,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,736 : 897,743 = 897,743 : x
  2. Step 2: Convert to fraction form
    612,736/897,743 = 897,743/x
  3. Step 3: Cross multiply
    612,736x = 897,743 × 897,743
  4. Step 4: Simplify right side
    612,736x = 805,942,494,049
  5. Step 5: Solve for x
    x = 805,942,494,049/612,736
  6. Step 6: Final answer
    x = 1,315,317.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.