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Finding the Third Proportional to 431,676 and 915,954.75

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Solution

The third proportional to 431,676 and 915,954.75 is: 1,943,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,676 : 915,954.75 = 915,954.75 : x
  2. Step 2: Convert to fraction form
    431,676/915,954.75 = 915,954.75/x
  3. Step 3: Cross multiply
    431,676x = 915,954.75 × 915,954.75
  4. Step 4: Simplify right side
    431,676x = 838,973,104,047.56
  5. Step 5: Solve for x
    x = 838,973,104,047.56/431,676
  6. Step 6: Final answer
    x = 1,943,525.01

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.