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Finding the Third Proportional to 1,640,643 and 3,568,518

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Solution

The third proportional to 1,640,643 and 3,568,518 is: 7,761,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,643 : 3,568,518 = 3,568,518 : x
  2. Step 2: Convert to fraction form
    1,640,643/3,568,518 = 3,568,518/x
  3. Step 3: Cross multiply
    1,640,643x = 3,568,518 × 3,568,518
  4. Step 4: Simplify right side
    1,640,643x = 12,734,320,716,324
  5. Step 5: Solve for x
    x = 12,734,320,716,324/1,640,643
  6. Step 6: Final answer
    x = 7,761,786.52

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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.