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Finding the Third Proportional to 723,826.13 and 1,429,486.31

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Solution

The third proportional to 723,826.13 and 1,429,486.31 is: 2,823,096.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,826.13 : 1,429,486.31 = 1,429,486.31 : x
  2. Step 2: Convert to fraction form
    723,826.13/1,429,486.31 = 1,429,486.31/x
  3. Step 3: Cross multiply
    723,826.13x = 1,429,486.31 × 1,429,486.31
  4. Step 4: Simplify right side
    723,826.13x = 2,043,431,117,624.85
  5. Step 5: Solve for x
    x = 2,043,431,117,624.85/723,826.13
  6. Step 6: Final answer
    x = 2,823,096.66

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.