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Finding the Third Proportional to 2,877,832 and 4,157,624

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Solution

The third proportional to 2,877,832 and 4,157,624 is: 6,006,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,832 : 4,157,624 = 4,157,624 : x
  2. Step 2: Convert to fraction form
    2,877,832/4,157,624 = 4,157,624/x
  3. Step 3: Cross multiply
    2,877,832x = 4,157,624 × 4,157,624
  4. Step 4: Simplify right side
    2,877,832x = 17,285,837,325,376
  5. Step 5: Solve for x
    x = 17,285,837,325,376/2,877,832
  6. Step 6: Final answer
    x = 6,006,548.45

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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.