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Finding the Third Proportional to 2,960,853 and 6,154,311

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Solution

The third proportional to 2,960,853 and 6,154,311 is: 12,792,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,853 : 6,154,311 = 6,154,311 : x
  2. Step 2: Convert to fraction form
    2,960,853/6,154,311 = 6,154,311/x
  3. Step 3: Cross multiply
    2,960,853x = 6,154,311 × 6,154,311
  4. Step 4: Simplify right side
    2,960,853x = 37,875,543,884,721
  5. Step 5: Solve for x
    x = 37,875,543,884,721/2,960,853
  6. Step 6: Final answer
    x = 12,792,105.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.