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Finding the Third Proportional to 1,749,200 and 3,774,016

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Solution

The third proportional to 1,749,200 and 3,774,016 is: 8,142,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,200 : 3,774,016 = 3,774,016 : x
  2. Step 2: Convert to fraction form
    1,749,200/3,774,016 = 3,774,016/x
  3. Step 3: Cross multiply
    1,749,200x = 3,774,016 × 3,774,016
  4. Step 4: Simplify right side
    1,749,200x = 14,243,196,768,256
  5. Step 5: Solve for x
    x = 14,243,196,768,256/1,749,200
  6. Step 6: Final answer
    x = 8,142,691.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.