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Finding the Third Proportional to 387,379 and 837,002

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Solution

The third proportional to 387,379 and 837,002 is: 1,808,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,379 : 837,002 = 837,002 : x
  2. Step 2: Convert to fraction form
    387,379/837,002 = 837,002/x
  3. Step 3: Cross multiply
    387,379x = 837,002 × 837,002
  4. Step 4: Simplify right side
    387,379x = 700,572,348,004
  5. Step 5: Solve for x
    x = 700,572,348,004/387,379
  6. Step 6: Final answer
    x = 1,808,493.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.