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Finding the Third Proportional to 1,929,755.81 and 4,109,103

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Solution

The third proportional to 1,929,755.81 and 4,109,103 is: 8,749,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,755.81 : 4,109,103 = 4,109,103 : x
  2. Step 2: Convert to fraction form
    1,929,755.81/4,109,103 = 4,109,103/x
  3. Step 3: Cross multiply
    1,929,755.81x = 4,109,103 × 4,109,103
  4. Step 4: Simplify right side
    1,929,755.81x = 16,884,727,464,609
  5. Step 5: Solve for x
    x = 16,884,727,464,609/1,929,755.81
  6. Step 6: Final answer
    x = 8,749,670.48

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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.