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Finding the Third Proportional to 770,750 and 1,624,594

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Solution

The third proportional to 770,750 and 1,624,594 is: 3,424,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,750 : 1,624,594 = 1,624,594 : x
  2. Step 2: Convert to fraction form
    770,750/1,624,594 = 1,624,594/x
  3. Step 3: Cross multiply
    770,750x = 1,624,594 × 1,624,594
  4. Step 4: Simplify right side
    770,750x = 2,639,305,664,836
  5. Step 5: Solve for x
    x = 2,639,305,664,836/770,750
  6. Step 6: Final answer
    x = 3,424,334.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.