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Finding the Third Proportional to 1,016,179.50 and 1,460,606.75

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Solution

The third proportional to 1,016,179.50 and 1,460,606.75 is: 2,099,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,179.50 : 1,460,606.75 = 1,460,606.75 : x
  2. Step 2: Convert to fraction form
    1,016,179.50/1,460,606.75 = 1,460,606.75/x
  3. Step 3: Cross multiply
    1,016,179.50x = 1,460,606.75 × 1,460,606.75
  4. Step 4: Simplify right side
    1,016,179.50x = 2,133,372,078,145.56
  5. Step 5: Solve for x
    x = 2,133,372,078,145.56/1,016,179.50
  6. Step 6: Final answer
    x = 2,099,404.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.