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Finding the Third Proportional to 2,076,161 and 4,462,714

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Solution

The third proportional to 2,076,161 and 4,462,714 is: 9,592,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076,161 : 4,462,714 = 4,462,714 : x
  2. Step 2: Convert to fraction form
    2,076,161/4,462,714 = 4,462,714/x
  3. Step 3: Cross multiply
    2,076,161x = 4,462,714 × 4,462,714
  4. Step 4: Simplify right side
    2,076,161x = 19,915,816,245,796
  5. Step 5: Solve for x
    x = 19,915,816,245,796/2,076,161
  6. Step 6: Final answer
    x = 9,592,616.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.