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Finding the Third Proportional to 736,839 and 1,171,683

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Solution

The third proportional to 736,839 and 1,171,683 is: 1,863,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,839 : 1,171,683 = 1,171,683 : x
  2. Step 2: Convert to fraction form
    736,839/1,171,683 = 1,171,683/x
  3. Step 3: Cross multiply
    736,839x = 1,171,683 × 1,171,683
  4. Step 4: Simplify right side
    736,839x = 1,372,841,052,489
  5. Step 5: Solve for x
    x = 1,372,841,052,489/736,839
  6. Step 6: Final answer
    x = 1,863,149.28

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Why These Related Problems?

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