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Finding the Third Proportional to 493,429 and 1,025,644

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Solution

The third proportional to 493,429 and 1,025,644 is: 2,131,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,429 : 1,025,644 = 1,025,644 : x
  2. Step 2: Convert to fraction form
    493,429/1,025,644 = 1,025,644/x
  3. Step 3: Cross multiply
    493,429x = 1,025,644 × 1,025,644
  4. Step 4: Simplify right side
    493,429x = 1,051,945,614,736
  5. Step 5: Solve for x
    x = 1,051,945,614,736/493,429
  6. Step 6: Final answer
    x = 2,131,908.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.