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Finding the Third Proportional to 892,286.23 and 1,359,341.79

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Solution

The third proportional to 892,286.23 and 1,359,341.79 is: 2,070,871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,286.23 : 1,359,341.79 = 1,359,341.79 : x
  2. Step 2: Convert to fraction form
    892,286.23/1,359,341.79 = 1,359,341.79/x
  3. Step 3: Cross multiply
    892,286.23x = 1,359,341.79 × 1,359,341.79
  4. Step 4: Simplify right side
    892,286.23x = 1,847,810,099,491.64
  5. Step 5: Solve for x
    x = 1,847,810,099,491.64/892,286.23
  6. Step 6: Final answer
    x = 2,070,871.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.