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Finding the Third Proportional to 3,693,206 and 5,673,214

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Solution

The third proportional to 3,693,206 and 5,673,214 is: 8,714,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693,206 : 5,673,214 = 5,673,214 : x
  2. Step 2: Convert to fraction form
    3,693,206/5,673,214 = 5,673,214/x
  3. Step 3: Cross multiply
    3,693,206x = 5,673,214 × 5,673,214
  4. Step 4: Simplify right side
    3,693,206x = 32,185,357,089,796
  5. Step 5: Solve for x
    x = 32,185,357,089,796/3,693,206
  6. Step 6: Final answer
    x = 8,714,747.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.