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Finding the Third Proportional to 770,744.25 and 1,624,581

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Solution

The third proportional to 770,744.25 and 1,624,581 is: 3,424,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,744.25 : 1,624,581 = 1,624,581 : x
  2. Step 2: Convert to fraction form
    770,744.25/1,624,581 = 1,624,581/x
  3. Step 3: Cross multiply
    770,744.25x = 1,624,581 × 1,624,581
  4. Step 4: Simplify right side
    770,744.25x = 2,639,263,425,561
  5. Step 5: Solve for x
    x = 2,639,263,425,561/770,744.25
  6. Step 6: Final answer
    x = 3,424,305.05

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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.