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Finding the Third Proportional to 687,633.05 and 1,493,493.19

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Solution

The third proportional to 687,633.05 and 1,493,493.19 is: 3,243,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,633.05 : 1,493,493.19 = 1,493,493.19 : x
  2. Step 2: Convert to fraction form
    687,633.05/1,493,493.19 = 1,493,493.19/x
  3. Step 3: Cross multiply
    687,633.05x = 1,493,493.19 × 1,493,493.19
  4. Step 4: Simplify right side
    687,633.05x = 2,230,521,901,108.91
  5. Step 5: Solve for x
    x = 2,230,521,901,108.91/687,633.05
  6. Step 6: Final answer
    x = 3,243,767.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.