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Finding the Third Proportional to 962,120 and 2,076,781

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Solution

The third proportional to 962,120 and 2,076,781 is: 4,482,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,120 : 2,076,781 = 2,076,781 : x
  2. Step 2: Convert to fraction form
    962,120/2,076,781 = 2,076,781/x
  3. Step 3: Cross multiply
    962,120x = 2,076,781 × 2,076,781
  4. Step 4: Simplify right side
    962,120x = 4,313,019,321,961
  5. Step 5: Solve for x
    x = 4,313,019,321,961/962,120
  6. Step 6: Final answer
    x = 4,482,828.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.