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Finding the Third Proportional to 764,554 and 1,214,415

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Solution

The third proportional to 764,554 and 1,214,415 is: 1,928,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,554 : 1,214,415 = 1,214,415 : x
  2. Step 2: Convert to fraction form
    764,554/1,214,415 = 1,214,415/x
  3. Step 3: Cross multiply
    764,554x = 1,214,415 × 1,214,415
  4. Step 4: Simplify right side
    764,554x = 1,474,803,792,225
  5. Step 5: Solve for x
    x = 1,474,803,792,225/764,554
  6. Step 6: Final answer
    x = 1,928,972.70

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.