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Finding the Third Proportional to 2,076,012 and 4,493,196

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Solution

The third proportional to 2,076,012 and 4,493,196 is: 9,724,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076,012 : 4,493,196 = 4,493,196 : x
  2. Step 2: Convert to fraction form
    2,076,012/4,493,196 = 4,493,196/x
  3. Step 3: Cross multiply
    2,076,012x = 4,493,196 × 4,493,196
  4. Step 4: Simplify right side
    2,076,012x = 20,188,810,294,416
  5. Step 5: Solve for x
    x = 20,188,810,294,416/2,076,012
  6. Step 6: Final answer
    x = 9,724,804.24

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