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Finding the Third Proportional to 510,680.63 and 1,122,665.25

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Solution

The third proportional to 510,680.63 and 1,122,665.25 is: 2,468,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,680.63 : 1,122,665.25 = 1,122,665.25 : x
  2. Step 2: Convert to fraction form
    510,680.63/1,122,665.25 = 1,122,665.25/x
  3. Step 3: Cross multiply
    510,680.63x = 1,122,665.25 × 1,122,665.25
  4. Step 4: Simplify right side
    510,680.63x = 1,260,377,263,557.56
  5. Step 5: Solve for x
    x = 1,260,377,263,557.56/510,680.63
  6. Step 6: Final answer
    x = 2,468,034.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.