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Finding the Third Proportional to 1,023,861.94 and 1,378,326.38

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Solution

The third proportional to 1,023,861.94 and 1,378,326.38 is: 1,855,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,861.94 : 1,378,326.38 = 1,378,326.38 : x
  2. Step 2: Convert to fraction form
    1,023,861.94/1,378,326.38 = 1,378,326.38/x
  3. Step 3: Cross multiply
    1,023,861.94x = 1,378,326.38 × 1,378,326.38
  4. Step 4: Simplify right side
    1,023,861.94x = 1,899,783,596,020.64
  5. Step 5: Solve for x
    x = 1,899,783,596,020.64/1,023,861.94
  6. Step 6: Final answer
    x = 1,855,507.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.