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Finding the Third Proportional to 417,810 and 915,716.75

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Solution

The third proportional to 417,810 and 915,716.75 is: 2,006,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,810 : 915,716.75 = 915,716.75 : x
  2. Step 2: Convert to fraction form
    417,810/915,716.75 = 915,716.75/x
  3. Step 3: Cross multiply
    417,810x = 915,716.75 × 915,716.75
  4. Step 4: Simplify right side
    417,810x = 838,537,166,230.56
  5. Step 5: Solve for x
    x = 838,537,166,230.56/417,810
  6. Step 6: Final answer
    x = 2,006,982.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.