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Finding the Third Proportional to 2,846,342 and 4,432,809

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Solution

The third proportional to 2,846,342 and 4,432,809 is: 6,903,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846,342 : 4,432,809 = 4,432,809 : x
  2. Step 2: Convert to fraction form
    2,846,342/4,432,809 = 4,432,809/x
  3. Step 3: Cross multiply
    2,846,342x = 4,432,809 × 4,432,809
  4. Step 4: Simplify right side
    2,846,342x = 19,649,795,630,481
  5. Step 5: Solve for x
    x = 19,649,795,630,481/2,846,342
  6. Step 6: Final answer
    x = 6,903,525.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.