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Finding the Third Proportional to 424,103.63 and 914,631.75

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Solution

The third proportional to 424,103.63 and 914,631.75 is: 1,972,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,103.63 : 914,631.75 = 914,631.75 : x
  2. Step 2: Convert to fraction form
    424,103.63/914,631.75 = 914,631.75/x
  3. Step 3: Cross multiply
    424,103.63x = 914,631.75 × 914,631.75
  4. Step 4: Simplify right side
    424,103.63x = 836,551,238,108.06
  5. Step 5: Solve for x
    x = 836,551,238,108.06/424,103.63
  6. Step 6: Final answer
    x = 1,972,516.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.