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Finding the Third Proportional to 510,706.27 and 1,105,953.75

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Solution

The third proportional to 510,706.27 and 1,105,953.75 is: 2,394,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,706.27 : 1,105,953.75 = 1,105,953.75 : x
  2. Step 2: Convert to fraction form
    510,706.27/1,105,953.75 = 1,105,953.75/x
  3. Step 3: Cross multiply
    510,706.27x = 1,105,953.75 × 1,105,953.75
  4. Step 4: Simplify right side
    510,706.27x = 1,223,133,697,139.06
  5. Step 5: Solve for x
    x = 1,223,133,697,139.06/510,706.27
  6. Step 6: Final answer
    x = 2,394,984.71

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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.