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Finding the Third Proportional to 590,874.75 and 1,296,631.13

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Solution

The third proportional to 590,874.75 and 1,296,631.13 is: 2,845,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,874.75 : 1,296,631.13 = 1,296,631.13 : x
  2. Step 2: Convert to fraction form
    590,874.75/1,296,631.13 = 1,296,631.13/x
  3. Step 3: Cross multiply
    590,874.75x = 1,296,631.13 × 1,296,631.13
  4. Step 4: Simplify right side
    590,874.75x = 1,681,252,274,318.77
  5. Step 5: Solve for x
    x = 1,681,252,274,318.77/590,874.75
  6. Step 6: Final answer
    x = 2,845,361.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.