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Finding the Third Proportional to 493,417 and 1,025,619

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Solution

The third proportional to 493,417 and 1,025,619 is: 2,131,856.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,417 : 1,025,619 = 1,025,619 : x
  2. Step 2: Convert to fraction form
    493,417/1,025,619 = 1,025,619/x
  3. Step 3: Cross multiply
    493,417x = 1,025,619 × 1,025,619
  4. Step 4: Simplify right side
    493,417x = 1,051,894,333,161
  5. Step 5: Solve for x
    x = 1,051,894,333,161/493,417
  6. Step 6: Final answer
    x = 2,131,856.69

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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.