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Finding the Third Proportional to 701,941 and 1,110,533

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Solution

The third proportional to 701,941 and 1,110,533 is: 1,756,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,941 : 1,110,533 = 1,110,533 : x
  2. Step 2: Convert to fraction form
    701,941/1,110,533 = 1,110,533/x
  3. Step 3: Cross multiply
    701,941x = 1,110,533 × 1,110,533
  4. Step 4: Simplify right side
    701,941x = 1,233,283,544,089
  5. Step 5: Solve for x
    x = 1,233,283,544,089/701,941
  6. Step 6: Final answer
    x = 1,756,961.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.