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Finding the Third Proportional to 2,605,249 and 5,490,434

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Solution

The third proportional to 2,605,249 and 5,490,434 is: 11,570,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,249 : 5,490,434 = 5,490,434 : x
  2. Step 2: Convert to fraction form
    2,605,249/5,490,434 = 5,490,434/x
  3. Step 3: Cross multiply
    2,605,249x = 5,490,434 × 5,490,434
  4. Step 4: Simplify right side
    2,605,249x = 30,144,865,508,356
  5. Step 5: Solve for x
    x = 30,144,865,508,356/2,605,249
  6. Step 6: Final answer
    x = 11,570,819.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.