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Finding the Third Proportional to 741,887 and 1,116,311

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Solution

The third proportional to 741,887 and 1,116,311 is: 1,679,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,887 : 1,116,311 = 1,116,311 : x
  2. Step 2: Convert to fraction form
    741,887/1,116,311 = 1,116,311/x
  3. Step 3: Cross multiply
    741,887x = 1,116,311 × 1,116,311
  4. Step 4: Simplify right side
    741,887x = 1,246,150,248,721
  5. Step 5: Solve for x
    x = 1,246,150,248,721/741,887
  6. Step 6: Final answer
    x = 1,679,703.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.