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Finding the Third Proportional to 2,877,827 and 4,157,619

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Solution

The third proportional to 2,877,827 and 4,157,619 is: 6,006,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,827 : 4,157,619 = 4,157,619 : x
  2. Step 2: Convert to fraction form
    2,877,827/4,157,619 = 4,157,619/x
  3. Step 3: Cross multiply
    2,877,827x = 4,157,619 × 4,157,619
  4. Step 4: Simplify right side
    2,877,827x = 17,285,795,749,161
  5. Step 5: Solve for x
    x = 17,285,795,749,161/2,877,827
  6. Step 6: Final answer
    x = 6,006,544.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.