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Finding the Third Proportional to 1,025,322 and 1,647,344

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Solution

The third proportional to 1,025,322 and 1,647,344 is: 2,646,721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,322 : 1,647,344 = 1,647,344 : x
  2. Step 2: Convert to fraction form
    1,025,322/1,647,344 = 1,647,344/x
  3. Step 3: Cross multiply
    1,025,322x = 1,647,344 × 1,647,344
  4. Step 4: Simplify right side
    1,025,322x = 2,713,742,254,336
  5. Step 5: Solve for x
    x = 2,713,742,254,336/1,025,322
  6. Step 6: Final answer
    x = 2,646,721.96

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.