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Finding the Third Proportional to 619,438 and 1,313,306

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Solution

The third proportional to 619,438 and 1,313,306 is: 2,784,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,438 : 1,313,306 = 1,313,306 : x
  2. Step 2: Convert to fraction form
    619,438/1,313,306 = 1,313,306/x
  3. Step 3: Cross multiply
    619,438x = 1,313,306 × 1,313,306
  4. Step 4: Simplify right side
    619,438x = 1,724,772,649,636
  5. Step 5: Solve for x
    x = 1,724,772,649,636/619,438
  6. Step 6: Final answer
    x = 2,784,415.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.