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Finding the Third Proportional to 1,709,322 and 3,647,470

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Solution

The third proportional to 1,709,322 and 3,647,470 is: 7,783,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,322 : 3,647,470 = 3,647,470 : x
  2. Step 2: Convert to fraction form
    1,709,322/3,647,470 = 3,647,470/x
  3. Step 3: Cross multiply
    1,709,322x = 3,647,470 × 3,647,470
  4. Step 4: Simplify right side
    1,709,322x = 13,304,037,400,900
  5. Step 5: Solve for x
    x = 13,304,037,400,900/1,709,322
  6. Step 6: Final answer
    x = 7,783,224.81

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.