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Finding the Third Proportional to 2,305,406 and 5,009,492

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Solution

The third proportional to 2,305,406 and 5,009,492 is: 10,885,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,406 : 5,009,492 = 5,009,492 : x
  2. Step 2: Convert to fraction form
    2,305,406/5,009,492 = 5,009,492/x
  3. Step 3: Cross multiply
    2,305,406x = 5,009,492 × 5,009,492
  4. Step 4: Simplify right side
    2,305,406x = 25,095,010,098,064
  5. Step 5: Solve for x
    x = 25,095,010,098,064/2,305,406
  6. Step 6: Final answer
    x = 10,885,288.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.