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Finding the Third Proportional to 1,566,188 and 3,420,006

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Solution

The third proportional to 1,566,188 and 3,420,006 is: 7,468,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566,188 : 3,420,006 = 3,420,006 : x
  2. Step 2: Convert to fraction form
    1,566,188/3,420,006 = 3,420,006/x
  3. Step 3: Cross multiply
    1,566,188x = 3,420,006 × 3,420,006
  4. Step 4: Simplify right side
    1,566,188x = 11,696,441,040,036
  5. Step 5: Solve for x
    x = 11,696,441,040,036/1,566,188
  6. Step 6: Final answer
    x = 7,468,095.17

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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.