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Finding the Third Proportional to 1,223,823 and 2,650,998

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Solution

The third proportional to 1,223,823 and 2,650,998 is: 5,742,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,823 : 2,650,998 = 2,650,998 : x
  2. Step 2: Convert to fraction form
    1,223,823/2,650,998 = 2,650,998/x
  3. Step 3: Cross multiply
    1,223,823x = 2,650,998 × 2,650,998
  4. Step 4: Simplify right side
    1,223,823x = 7,027,790,396,004
  5. Step 5: Solve for x
    x = 7,027,790,396,004/1,223,823
  6. Step 6: Final answer
    x = 5,742,489.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.