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Finding the Third Proportional to 2,674,224 and 5,721,696

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Solution

The third proportional to 2,674,224 and 5,721,696 is: 12,241,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674,224 : 5,721,696 = 5,721,696 : x
  2. Step 2: Convert to fraction form
    2,674,224/5,721,696 = 5,721,696/x
  3. Step 3: Cross multiply
    2,674,224x = 5,721,696 × 5,721,696
  4. Step 4: Simplify right side
    2,674,224x = 32,737,805,116,416
  5. Step 5: Solve for x
    x = 32,737,805,116,416/2,674,224
  6. Step 6: Final answer
    x = 12,241,983.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.