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Finding the Third Proportional to 1,205,469 and 2,651,994

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Solution

The third proportional to 1,205,469 and 2,651,994 is: 5,834,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,469 : 2,651,994 = 2,651,994 : x
  2. Step 2: Convert to fraction form
    1,205,469/2,651,994 = 2,651,994/x
  3. Step 3: Cross multiply
    1,205,469x = 2,651,994 × 2,651,994
  4. Step 4: Simplify right side
    1,205,469x = 7,033,072,176,036
  5. Step 5: Solve for x
    x = 7,033,072,176,036/1,205,469
  6. Step 6: Final answer
    x = 5,834,303.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.