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Finding the Third Proportional to 770,754 and 1,624,602

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Solution

The third proportional to 770,754 and 1,624,602 is: 3,424,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,754 : 1,624,602 = 1,624,602 : x
  2. Step 2: Convert to fraction form
    770,754/1,624,602 = 1,624,602/x
  3. Step 3: Cross multiply
    770,754x = 1,624,602 × 1,624,602
  4. Step 4: Simplify right side
    770,754x = 2,639,331,658,404
  5. Step 5: Solve for x
    x = 2,639,331,658,404/770,754
  6. Step 6: Final answer
    x = 3,424,350.26

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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.