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Finding the Third Proportional to 459,414.28 and 1,010,530.69

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Solution

The third proportional to 459,414.28 and 1,010,530.69 is: 2,222,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,414.28 : 1,010,530.69 = 1,010,530.69 : x
  2. Step 2: Convert to fraction form
    459,414.28/1,010,530.69 = 1,010,530.69/x
  3. Step 3: Cross multiply
    459,414.28x = 1,010,530.69 × 1,010,530.69
  4. Step 4: Simplify right side
    459,414.28x = 1,021,172,270,379.22
  5. Step 5: Solve for x
    x = 1,021,172,270,379.22/459,414.28
  6. Step 6: Final answer
    x = 2,222,769.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.