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Finding the Third Proportional to 2,527,110 and 3,613,796

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Solution

The third proportional to 2,527,110 and 3,613,796 is: 5,167,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,110 : 3,613,796 = 3,613,796 : x
  2. Step 2: Convert to fraction form
    2,527,110/3,613,796 = 3,613,796/x
  3. Step 3: Cross multiply
    2,527,110x = 3,613,796 × 3,613,796
  4. Step 4: Simplify right side
    2,527,110x = 13,059,521,529,616
  5. Step 5: Solve for x
    x = 13,059,521,529,616/2,527,110
  6. Step 6: Final answer
    x = 5,167,769.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.