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Finding the Third Proportional to 417,069 and 910,591.88

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Solution

The third proportional to 417,069 and 910,591.88 is: 1,988,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,069 : 910,591.88 = 910,591.88 : x
  2. Step 2: Convert to fraction form
    417,069/910,591.88 = 910,591.88/x
  3. Step 3: Cross multiply
    417,069x = 910,591.88 × 910,591.88
  4. Step 4: Simplify right side
    417,069x = 829,177,562,816.02
  5. Step 5: Solve for x
    x = 829,177,562,816.02/417,069
  6. Step 6: Final answer
    x = 1,988,106.44

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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.