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Finding the Third Proportional to 2,076,162 and 4,462,716

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Solution

The third proportional to 2,076,162 and 4,462,716 is: 9,592,620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076,162 : 4,462,716 = 4,462,716 : x
  2. Step 2: Convert to fraction form
    2,076,162/4,462,716 = 4,462,716/x
  3. Step 3: Cross multiply
    2,076,162x = 4,462,716 × 4,462,716
  4. Step 4: Simplify right side
    2,076,162x = 19,915,834,096,656
  5. Step 5: Solve for x
    x = 19,915,834,096,656/2,076,162
  6. Step 6: Final answer
    x = 9,592,620.47

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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.