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Finding the Third Proportional to 677,673.84 and 1,411,531.31

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Solution

The third proportional to 677,673.84 and 1,411,531.31 is: 2,940,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,673.84 : 1,411,531.31 = 1,411,531.31 : x
  2. Step 2: Convert to fraction form
    677,673.84/1,411,531.31 = 1,411,531.31/x
  3. Step 3: Cross multiply
    677,673.84x = 1,411,531.31 × 1,411,531.31
  4. Step 4: Simplify right side
    677,673.84x = 1,992,420,646,167.97
  5. Step 5: Solve for x
    x = 1,992,420,646,167.97/677,673.84
  6. Step 6: Final answer
    x = 2,940,087.87

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.