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Finding the Third Proportional to 669,945.38 and 1,460,346.75

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Solution

The third proportional to 669,945.38 and 1,460,346.75 is: 3,183,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,945.38 : 1,460,346.75 = 1,460,346.75 : x
  2. Step 2: Convert to fraction form
    669,945.38/1,460,346.75 = 1,460,346.75/x
  3. Step 3: Cross multiply
    669,945.38x = 1,460,346.75 × 1,460,346.75
  4. Step 4: Simplify right side
    669,945.38x = 2,132,612,630,235.56
  5. Step 5: Solve for x
    x = 2,132,612,630,235.56/669,945.38
  6. Step 6: Final answer
    x = 3,183,263.46

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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.