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Finding the Third Proportional to 767,880 and 1,675,512

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Solution

The third proportional to 767,880 and 1,675,512 is: 3,655,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,880 : 1,675,512 = 1,675,512 : x
  2. Step 2: Convert to fraction form
    767,880/1,675,512 = 1,675,512/x
  3. Step 3: Cross multiply
    767,880x = 1,675,512 × 1,675,512
  4. Step 4: Simplify right side
    767,880x = 2,807,340,462,144
  5. Step 5: Solve for x
    x = 2,807,340,462,144/767,880
  6. Step 6: Final answer
    x = 3,655,962.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.