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Finding the Third Proportional to 673,585.31 and 1,459,284.75

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Solution

The third proportional to 673,585.31 and 1,459,284.75 is: 3,161,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,585.31 : 1,459,284.75 = 1,459,284.75 : x
  2. Step 2: Convert to fraction form
    673,585.31/1,459,284.75 = 1,459,284.75/x
  3. Step 3: Cross multiply
    673,585.31x = 1,459,284.75 × 1,459,284.75
  4. Step 4: Simplify right side
    673,585.31x = 2,129,511,981,582.56
  5. Step 5: Solve for x
    x = 2,129,511,981,582.56/673,585.31
  6. Step 6: Final answer
    x = 3,161,458.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.