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Finding the Third Proportional to 459,064.13 and 1,079,790.75

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Solution

The third proportional to 459,064.13 and 1,079,790.75 is: 2,539,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,064.13 : 1,079,790.75 = 1,079,790.75 : x
  2. Step 2: Convert to fraction form
    459,064.13/1,079,790.75 = 1,079,790.75/x
  3. Step 3: Cross multiply
    459,064.13x = 1,079,790.75 × 1,079,790.75
  4. Step 4: Simplify right side
    459,064.13x = 1,165,948,063,785.56
  5. Step 5: Solve for x
    x = 1,165,948,063,785.56/459,064.13
  6. Step 6: Final answer
    x = 2,539,837.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.