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Finding the Third Proportional to 762,321 and 1,609,197

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Solution

The third proportional to 762,321 and 1,609,197 is: 3,396,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,321 : 1,609,197 = 1,609,197 : x
  2. Step 2: Convert to fraction form
    762,321/1,609,197 = 1,609,197/x
  3. Step 3: Cross multiply
    762,321x = 1,609,197 × 1,609,197
  4. Step 4: Simplify right side
    762,321x = 2,589,514,984,809
  5. Step 5: Solve for x
    x = 2,589,514,984,809/762,321
  6. Step 6: Final answer
    x = 3,396,882.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.