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Finding the Third Proportional to 417,196.13 and 908,746.88

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Solution

The third proportional to 417,196.13 and 908,746.88 is: 1,979,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,196.13 : 908,746.88 = 908,746.88 : x
  2. Step 2: Convert to fraction form
    417,196.13/908,746.88 = 908,746.88/x
  3. Step 3: Cross multiply
    417,196.13x = 908,746.88 × 908,746.88
  4. Step 4: Simplify right side
    417,196.13x = 825,820,882,822.27
  5. Step 5: Solve for x
    x = 825,820,882,822.27/417,196.13
  6. Step 6: Final answer
    x = 1,979,454.83

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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.