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Finding the Third Proportional to 3,699,856 and 7,804,600

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Solution

The third proportional to 3,699,856 and 7,804,600 is: 16,463,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,856 : 7,804,600 = 7,804,600 : x
  2. Step 2: Convert to fraction form
    3,699,856/7,804,600 = 7,804,600/x
  3. Step 3: Cross multiply
    3,699,856x = 7,804,600 × 7,804,600
  4. Step 4: Simplify right side
    3,699,856x = 60,911,781,160,000
  5. Step 5: Solve for x
    x = 60,911,781,160,000/3,699,856
  6. Step 6: Final answer
    x = 16,463,284.29

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.