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Finding the Third Proportional to 2,353,673 and 5,028,653

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Solution

The third proportional to 2,353,673 and 5,028,653 is: 10,743,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353,673 : 5,028,653 = 5,028,653 : x
  2. Step 2: Convert to fraction form
    2,353,673/5,028,653 = 5,028,653/x
  3. Step 3: Cross multiply
    2,353,673x = 5,028,653 × 5,028,653
  4. Step 4: Simplify right side
    2,353,673x = 25,287,350,994,409
  5. Step 5: Solve for x
    x = 25,287,350,994,409/2,353,673
  6. Step 6: Final answer
    x = 10,743,782.59

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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.