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Finding the Third Proportional to 1,199,816 and 1,687,458

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Solution

The third proportional to 1,199,816 and 1,687,458 is: 2,373,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,816 : 1,687,458 = 1,687,458 : x
  2. Step 2: Convert to fraction form
    1,199,816/1,687,458 = 1,687,458/x
  3. Step 3: Cross multiply
    1,199,816x = 1,687,458 × 1,687,458
  4. Step 4: Simplify right side
    1,199,816x = 2,847,514,501,764
  5. Step 5: Solve for x
    x = 2,847,514,501,764/1,199,816
  6. Step 6: Final answer
    x = 2,373,292.66

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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.