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Finding the Third Proportional to 633,531.38 and 1,378,599.75

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Solution

The third proportional to 633,531.38 and 1,378,599.75 is: 2,999,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,531.38 : 1,378,599.75 = 1,378,599.75 : x
  2. Step 2: Convert to fraction form
    633,531.38/1,378,599.75 = 1,378,599.75/x
  3. Step 3: Cross multiply
    633,531.38x = 1,378,599.75 × 1,378,599.75
  4. Step 4: Simplify right side
    633,531.38x = 1,900,537,270,700.06
  5. Step 5: Solve for x
    x = 1,900,537,270,700.06/633,531.38
  6. Step 6: Final answer
    x = 2,999,910.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.