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Finding the Third Proportional to 1,862,678 and 2,847,477

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Solution

The third proportional to 1,862,678 and 2,847,477 is: 4,352,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862,678 : 2,847,477 = 2,847,477 : x
  2. Step 2: Convert to fraction form
    1,862,678/2,847,477 = 2,847,477/x
  3. Step 3: Cross multiply
    1,862,678x = 2,847,477 × 2,847,477
  4. Step 4: Simplify right side
    1,862,678x = 8,108,125,265,529
  5. Step 5: Solve for x
    x = 8,108,125,265,529/1,862,678
  6. Step 6: Final answer
    x = 4,352,939.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.