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Finding the Third Proportional to 962,121 and 2,076,783

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Solution

The third proportional to 962,121 and 2,076,783 is: 4,482,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,121 : 2,076,783 = 2,076,783 : x
  2. Step 2: Convert to fraction form
    962,121/2,076,783 = 2,076,783/x
  3. Step 3: Cross multiply
    962,121x = 2,076,783 × 2,076,783
  4. Step 4: Simplify right side
    962,121x = 4,313,027,629,089
  5. Step 5: Solve for x
    x = 4,313,027,629,089/962,121
  6. Step 6: Final answer
    x = 4,482,832.85

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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.