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Finding the Third Proportional to 2,934,264 and 6,221,796

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Solution

The third proportional to 2,934,264 and 6,221,796 is: 13,192,659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934,264 : 6,221,796 = 6,221,796 : x
  2. Step 2: Convert to fraction form
    2,934,264/6,221,796 = 6,221,796/x
  3. Step 3: Cross multiply
    2,934,264x = 6,221,796 × 6,221,796
  4. Step 4: Simplify right side
    2,934,264x = 38,710,745,465,616
  5. Step 5: Solve for x
    x = 38,710,745,465,616/2,934,264
  6. Step 6: Final answer
    x = 13,192,659.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.