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Finding the Third Proportional to 1,025,320 and 1,647,341

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Solution

The third proportional to 1,025,320 and 1,647,341 is: 2,646,717.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,320 : 1,647,341 = 1,647,341 : x
  2. Step 2: Convert to fraction form
    1,025,320/1,647,341 = 1,647,341/x
  3. Step 3: Cross multiply
    1,025,320x = 1,647,341 × 1,647,341
  4. Step 4: Simplify right side
    1,025,320x = 2,713,732,370,281
  5. Step 5: Solve for x
    x = 2,713,732,370,281/1,025,320
  6. Step 6: Final answer
    x = 2,646,717.48

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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.