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Finding the Third Proportional to 387,381 and 837,006

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Solution

The third proportional to 387,381 and 837,006 is: 1,808,501.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,381 : 837,006 = 837,006 : x
  2. Step 2: Convert to fraction form
    387,381/837,006 = 837,006/x
  3. Step 3: Cross multiply
    387,381x = 837,006 × 837,006
  4. Step 4: Simplify right side
    387,381x = 700,579,044,036
  5. Step 5: Solve for x
    x = 700,579,044,036/387,381
  6. Step 6: Final answer
    x = 1,808,501.31

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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.