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Finding the Third Proportional to 1,832,133 and 3,907,770

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Solution

The third proportional to 1,832,133 and 3,907,770 is: 8,334,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,133 : 3,907,770 = 3,907,770 : x
  2. Step 2: Convert to fraction form
    1,832,133/3,907,770 = 3,907,770/x
  3. Step 3: Cross multiply
    1,832,133x = 3,907,770 × 3,907,770
  4. Step 4: Simplify right side
    1,832,133x = 15,270,666,372,900
  5. Step 5: Solve for x
    x = 15,270,666,372,900/1,832,133
  6. Step 6: Final answer
    x = 8,334,911.48

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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.