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Finding the Third Proportional to 414,649.13 and 908,151.75

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Solution

The third proportional to 414,649.13 and 908,151.75 is: 1,989,006.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,649.13 : 908,151.75 = 908,151.75 : x
  2. Step 2: Convert to fraction form
    414,649.13/908,151.75 = 908,151.75/x
  3. Step 3: Cross multiply
    414,649.13x = 908,151.75 × 908,151.75
  4. Step 4: Simplify right side
    414,649.13x = 824,739,601,028.06
  5. Step 5: Solve for x
    x = 824,739,601,028.06/414,649.13
  6. Step 6: Final answer
    x = 1,989,006.01

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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.