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Finding the Third Proportional to 1,209,726 and 2,640,816

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Solution

The third proportional to 1,209,726 and 2,640,816 is: 5,764,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,726 : 2,640,816 = 2,640,816 : x
  2. Step 2: Convert to fraction form
    1,209,726/2,640,816 = 2,640,816/x
  3. Step 3: Cross multiply
    1,209,726x = 2,640,816 × 2,640,816
  4. Step 4: Simplify right side
    1,209,726x = 6,973,909,145,856
  5. Step 5: Solve for x
    x = 6,973,909,145,856/1,209,726
  6. Step 6: Final answer
    x = 5,764,866.71

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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.