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Finding the Third Proportional to 1,664,322 and 3,585,009

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Solution

The third proportional to 1,664,322 and 3,585,009 is: 7,722,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,322 : 3,585,009 = 3,585,009 : x
  2. Step 2: Convert to fraction form
    1,664,322/3,585,009 = 3,585,009/x
  3. Step 3: Cross multiply
    1,664,322x = 3,585,009 × 3,585,009
  4. Step 4: Simplify right side
    1,664,322x = 12,852,289,530,081
  5. Step 5: Solve for x
    x = 12,852,289,530,081/1,664,322
  6. Step 6: Final answer
    x = 7,722,237.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.