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Finding the Third Proportional to 770,752 and 1,624,598

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Solution

The third proportional to 770,752 and 1,624,598 is: 3,424,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,752 : 1,624,598 = 1,624,598 : x
  2. Step 2: Convert to fraction form
    770,752/1,624,598 = 1,624,598/x
  3. Step 3: Cross multiply
    770,752x = 1,624,598 × 1,624,598
  4. Step 4: Simplify right side
    770,752x = 2,639,318,661,604
  5. Step 5: Solve for x
    x = 2,639,318,661,604/770,752
  6. Step 6: Final answer
    x = 3,424,342.28

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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.