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Finding the Third Proportional to 2,445,825 and 5,064,450

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Solution

The third proportional to 2,445,825 and 5,064,450 is: 10,486,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445,825 : 5,064,450 = 5,064,450 : x
  2. Step 2: Convert to fraction form
    2,445,825/5,064,450 = 5,064,450/x
  3. Step 3: Cross multiply
    2,445,825x = 5,064,450 × 5,064,450
  4. Step 4: Simplify right side
    2,445,825x = 25,648,653,802,500
  5. Step 5: Solve for x
    x = 25,648,653,802,500/2,445,825
  6. Step 6: Final answer
    x = 10,486,708.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.