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Finding the Third Proportional to 1,566,189 and 3,420,010

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Solution

The third proportional to 1,566,189 and 3,420,010 is: 7,468,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566,189 : 3,420,010 = 3,420,010 : x
  2. Step 2: Convert to fraction form
    1,566,189/3,420,010 = 3,420,010/x
  3. Step 3: Cross multiply
    1,566,189x = 3,420,010 × 3,420,010
  4. Step 4: Simplify right side
    1,566,189x = 11,696,468,400,100
  5. Step 5: Solve for x
    x = 11,696,468,400,100/1,566,189
  6. Step 6: Final answer
    x = 7,468,107.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.