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Finding the Third Proportional to 3,828,824 and 5,927,859

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Solution

The third proportional to 3,828,824 and 5,927,859 is: 9,177,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828,824 : 5,927,859 = 5,927,859 : x
  2. Step 2: Convert to fraction form
    3,828,824/5,927,859 = 5,927,859/x
  3. Step 3: Cross multiply
    3,828,824x = 5,927,859 × 5,927,859
  4. Step 4: Simplify right side
    3,828,824x = 35,139,512,323,881
  5. Step 5: Solve for x
    x = 35,139,512,323,881/3,828,824
  6. Step 6: Final answer
    x = 9,177,625.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.