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Finding the Third Proportional to 933,144 and 2,047,077

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Solution

The third proportional to 933,144 and 2,047,077 is: 4,490,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,144 : 2,047,077 = 2,047,077 : x
  2. Step 2: Convert to fraction form
    933,144/2,047,077 = 2,047,077/x
  3. Step 3: Cross multiply
    933,144x = 2,047,077 × 2,047,077
  4. Step 4: Simplify right side
    933,144x = 4,190,524,243,929
  5. Step 5: Solve for x
    x = 4,190,524,243,929/933,144
  6. Step 6: Final answer
    x = 4,490,758.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.