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Finding the Third Proportional to 613,088 and 1,340,224

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Solution

The third proportional to 613,088 and 1,340,224 is: 2,929,759.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,088 : 1,340,224 = 1,340,224 : x
  2. Step 2: Convert to fraction form
    613,088/1,340,224 = 1,340,224/x
  3. Step 3: Cross multiply
    613,088x = 1,340,224 × 1,340,224
  4. Step 4: Simplify right side
    613,088x = 1,796,200,370,176
  5. Step 5: Solve for x
    x = 1,796,200,370,176/613,088
  6. Step 6: Final answer
    x = 2,929,759.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.