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Finding the Third Proportional to 493,463.81 and 1,076,169.38

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Solution

The third proportional to 493,463.81 and 1,076,169.38 is: 2,346,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,463.81 : 1,076,169.38 = 1,076,169.38 : x
  2. Step 2: Convert to fraction form
    493,463.81/1,076,169.38 = 1,076,169.38/x
  3. Step 3: Cross multiply
    493,463.81x = 1,076,169.38 × 1,076,169.38
  4. Step 4: Simplify right side
    493,463.81x = 1,158,140,523,687.89
  5. Step 5: Solve for x
    x = 1,158,140,523,687.89/493,463.81
  6. Step 6: Final answer
    x = 2,346,961.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.