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Finding the Third Proportional to 1,647,912 and 3,610,014

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Solution

The third proportional to 1,647,912 and 3,610,014 is: 7,908,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647,912 : 3,610,014 = 3,610,014 : x
  2. Step 2: Convert to fraction form
    1,647,912/3,610,014 = 3,610,014/x
  3. Step 3: Cross multiply
    1,647,912x = 3,610,014 × 3,610,014
  4. Step 4: Simplify right side
    1,647,912x = 13,032,201,080,196
  5. Step 5: Solve for x
    x = 13,032,201,080,196/1,647,912
  6. Step 6: Final answer
    x = 7,908,311.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.