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Finding the Third Proportional to 1,293,849 and 2,807,613

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Solution

The third proportional to 1,293,849 and 2,807,613 is: 6,092,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,849 : 2,807,613 = 2,807,613 : x
  2. Step 2: Convert to fraction form
    1,293,849/2,807,613 = 2,807,613/x
  3. Step 3: Cross multiply
    1,293,849x = 2,807,613 × 2,807,613
  4. Step 4: Simplify right side
    1,293,849x = 7,882,690,757,769
  5. Step 5: Solve for x
    x = 7,882,690,757,769/1,293,849
  6. Step 6: Final answer
    x = 6,092,434.87

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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.