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Finding the Third Proportional to 480,151.13 and 1,004,406.75

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Solution

The third proportional to 480,151.13 and 1,004,406.75 is: 2,101,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,151.13 : 1,004,406.75 = 1,004,406.75 : x
  2. Step 2: Convert to fraction form
    480,151.13/1,004,406.75 = 1,004,406.75/x
  3. Step 3: Cross multiply
    480,151.13x = 1,004,406.75 × 1,004,406.75
  4. Step 4: Simplify right side
    480,151.13x = 1,008,832,919,445.56
  5. Step 5: Solve for x
    x = 1,008,832,919,445.56/480,151.13
  6. Step 6: Final answer
    x = 2,101,073.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.