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Finding the Third Proportional to 387,108 and 833,541

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Solution

The third proportional to 387,108 and 833,541 is: 1,794,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,108 : 833,541 = 833,541 : x
  2. Step 2: Convert to fraction form
    387,108/833,541 = 833,541/x
  3. Step 3: Cross multiply
    387,108x = 833,541 × 833,541
  4. Step 4: Simplify right side
    387,108x = 694,790,598,681
  5. Step 5: Solve for x
    x = 694,790,598,681/387,108
  6. Step 6: Final answer
    x = 1,794,823.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.