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Finding the Third Proportional to 1,850,682 and 4,284,014

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Solution

The third proportional to 1,850,682 and 4,284,014 is: 9,916,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850,682 : 4,284,014 = 4,284,014 : x
  2. Step 2: Convert to fraction form
    1,850,682/4,284,014 = 4,284,014/x
  3. Step 3: Cross multiply
    1,850,682x = 4,284,014 × 4,284,014
  4. Step 4: Simplify right side
    1,850,682x = 18,352,775,952,196
  5. Step 5: Solve for x
    x = 18,352,775,952,196/1,850,682
  6. Step 6: Final answer
    x = 9,916,763.63

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.