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Finding the Third Proportional to 1,661,685 and 3,614,970

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Solution

The third proportional to 1,661,685 and 3,614,970 is: 7,864,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,685 : 3,614,970 = 3,614,970 : x
  2. Step 2: Convert to fraction form
    1,661,685/3,614,970 = 3,614,970/x
  3. Step 3: Cross multiply
    1,661,685x = 3,614,970 × 3,614,970
  4. Step 4: Simplify right side
    1,661,685x = 13,068,008,100,900
  5. Step 5: Solve for x
    x = 13,068,008,100,900/1,661,685
  6. Step 6: Final answer
    x = 7,864,311.29

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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.