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Finding the Third Proportional to 2,457,344 and 3,846,444

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Solution

The third proportional to 2,457,344 and 3,846,444 is: 6,020,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,344 : 3,846,444 = 3,846,444 : x
  2. Step 2: Convert to fraction form
    2,457,344/3,846,444 = 3,846,444/x
  3. Step 3: Cross multiply
    2,457,344x = 3,846,444 × 3,846,444
  4. Step 4: Simplify right side
    2,457,344x = 14,795,131,445,136
  5. Step 5: Solve for x
    x = 14,795,131,445,136/2,457,344
  6. Step 6: Final answer
    x = 6,020,781.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.