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Finding the Third Proportional to 1,201,718 and 1,690,311

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Solution

The third proportional to 1,201,718 and 1,690,311 is: 2,377,555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,718 : 1,690,311 = 1,690,311 : x
  2. Step 2: Convert to fraction form
    1,201,718/1,690,311 = 1,690,311/x
  3. Step 3: Cross multiply
    1,201,718x = 1,690,311 × 1,690,311
  4. Step 4: Simplify right side
    1,201,718x = 2,857,151,276,721
  5. Step 5: Solve for x
    x = 2,857,151,276,721/1,201,718
  6. Step 6: Final answer
    x = 2,377,555.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.