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Finding the Third Proportional to 736,847 and 1,171,701

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Solution

The third proportional to 736,847 and 1,171,701 is: 1,863,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,847 : 1,171,701 = 1,171,701 : x
  2. Step 2: Convert to fraction form
    736,847/1,171,701 = 1,171,701/x
  3. Step 3: Cross multiply
    736,847x = 1,171,701 × 1,171,701
  4. Step 4: Simplify right side
    736,847x = 1,372,883,233,401
  5. Step 5: Solve for x
    x = 1,372,883,233,401/736,847
  6. Step 6: Final answer
    x = 1,863,186.30

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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.