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Finding the Third Proportional to 417,020.63 and 908,885.25

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Solution

The third proportional to 417,020.63 and 908,885.25 is: 1,980,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,020.63 : 908,885.25 = 908,885.25 : x
  2. Step 2: Convert to fraction form
    417,020.63/908,885.25 = 908,885.25/x
  3. Step 3: Cross multiply
    417,020.63x = 908,885.25 × 908,885.25
  4. Step 4: Simplify right side
    417,020.63x = 826,072,397,667.56
  5. Step 5: Solve for x
    x = 826,072,397,667.56/417,020.63
  6. Step 6: Final answer
    x = 1,980,890.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.