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Finding the Third Proportional to 387,806 and 837,882

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Solution

The third proportional to 387,806 and 837,882 is: 1,810,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,806 : 837,882 = 837,882 : x
  2. Step 2: Convert to fraction form
    387,806/837,882 = 837,882/x
  3. Step 3: Cross multiply
    387,806x = 837,882 × 837,882
  4. Step 4: Simplify right side
    387,806x = 702,046,245,924
  5. Step 5: Solve for x
    x = 702,046,245,924/387,806
  6. Step 6: Final answer
    x = 1,810,302.69

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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.