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Finding the Third Proportional to 2,442,842 and 5,210,356

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Solution

The third proportional to 2,442,842 and 5,210,356 is: 11,113,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442,842 : 5,210,356 = 5,210,356 : x
  2. Step 2: Convert to fraction form
    2,442,842/5,210,356 = 5,210,356/x
  3. Step 3: Cross multiply
    2,442,842x = 5,210,356 × 5,210,356
  4. Step 4: Simplify right side
    2,442,842x = 27,147,809,646,736
  5. Step 5: Solve for x
    x = 27,147,809,646,736/2,442,842
  6. Step 6: Final answer
    x = 11,113,207.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.