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Finding the Third Proportional to 2,076,960 and 3,033,744

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Solution

The third proportional to 2,076,960 and 3,033,744 is: 4,431,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076,960 : 3,033,744 = 3,033,744 : x
  2. Step 2: Convert to fraction form
    2,076,960/3,033,744 = 3,033,744/x
  3. Step 3: Cross multiply
    2,076,960x = 3,033,744 × 3,033,744
  4. Step 4: Simplify right side
    2,076,960x = 9,203,602,657,536
  5. Step 5: Solve for x
    x = 9,203,602,657,536/2,076,960
  6. Step 6: Final answer
    x = 4,431,285.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.