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Finding the Third Proportional to 1,619,673 and 3,749,644

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Solution

The third proportional to 1,619,673 and 3,749,644 is: 8,680,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,673 : 3,749,644 = 3,749,644 : x
  2. Step 2: Convert to fraction form
    1,619,673/3,749,644 = 3,749,644/x
  3. Step 3: Cross multiply
    1,619,673x = 3,749,644 × 3,749,644
  4. Step 4: Simplify right side
    1,619,673x = 14,059,830,126,736
  5. Step 5: Solve for x
    x = 14,059,830,126,736/1,619,673
  6. Step 6: Final answer
    x = 8,680,659.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.