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Finding the Third Proportional to 864,733 and 1,841,732

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Solution

The third proportional to 864,733 and 1,841,732 is: 3,922,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,733 : 1,841,732 = 1,841,732 : x
  2. Step 2: Convert to fraction form
    864,733/1,841,732 = 1,841,732/x
  3. Step 3: Cross multiply
    864,733x = 1,841,732 × 1,841,732
  4. Step 4: Simplify right side
    864,733x = 3,391,976,759,824
  5. Step 5: Solve for x
    x = 3,391,976,759,824/864,733
  6. Step 6: Final answer
    x = 3,922,571.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.