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Finding the Third Proportional to 963,081 and 1,493,311.50

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Solution

The third proportional to 963,081 and 1,493,311.50 is: 2,315,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,081 : 1,493,311.50 = 1,493,311.50 : x
  2. Step 2: Convert to fraction form
    963,081/1,493,311.50 = 1,493,311.50/x
  3. Step 3: Cross multiply
    963,081x = 1,493,311.50 × 1,493,311.50
  4. Step 4: Simplify right side
    963,081x = 2,229,979,236,032.25
  5. Step 5: Solve for x
    x = 2,229,979,236,032.25/963,081
  6. Step 6: Final answer
    x = 2,315,463.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.