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Finding the Third Proportional to 460,097.72 and 942,505.88

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Solution

The third proportional to 460,097.72 and 942,505.88 is: 1,930,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,097.72 : 942,505.88 = 942,505.88 : x
  2. Step 2: Convert to fraction form
    460,097.72/942,505.88 = 942,505.88/x
  3. Step 3: Cross multiply
    460,097.72x = 942,505.88 × 942,505.88
  4. Step 4: Simplify right side
    460,097.72x = 888,317,324,409.52
  5. Step 5: Solve for x
    x = 888,317,324,409.52/460,097.72
  6. Step 6: Final answer
    x = 1,930,714.47

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.