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Finding the Third Proportional to 619,392 and 1,340,160

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Solution

The third proportional to 619,392 and 1,340,160 is: 2,899,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,392 : 1,340,160 = 1,340,160 : x
  2. Step 2: Convert to fraction form
    619,392/1,340,160 = 1,340,160/x
  3. Step 3: Cross multiply
    619,392x = 1,340,160 × 1,340,160
  4. Step 4: Simplify right side
    619,392x = 1,796,028,825,600
  5. Step 5: Solve for x
    x = 1,796,028,825,600/619,392
  6. Step 6: Final answer
    x = 2,899,664.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.