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Finding the Third Proportional to 493,452 and 1,056,834

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Solution

The third proportional to 493,452 and 1,056,834 is: 2,263,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,452 : 1,056,834 = 1,056,834 : x
  2. Step 2: Convert to fraction form
    493,452/1,056,834 = 1,056,834/x
  3. Step 3: Cross multiply
    493,452x = 1,056,834 × 1,056,834
  4. Step 4: Simplify right side
    493,452x = 1,116,898,103,556
  5. Step 5: Solve for x
    x = 1,116,898,103,556/493,452
  6. Step 6: Final answer
    x = 2,263,438.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.