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Finding the Third Proportional to 387,972 and 837,108

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Solution

The third proportional to 387,972 and 837,108 is: 1,806,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,972 : 837,108 = 837,108 : x
  2. Step 2: Convert to fraction form
    387,972/837,108 = 837,108/x
  3. Step 3: Cross multiply
    387,972x = 837,108 × 837,108
  4. Step 4: Simplify right side
    387,972x = 700,749,803,664
  5. Step 5: Solve for x
    x = 700,749,803,664/387,972
  6. Step 6: Final answer
    x = 1,806,186.54

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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.