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Finding the Third Proportional to 508,698 and 1,074,096

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Solution

The third proportional to 508,698 and 1,074,096 is: 2,267,911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,698 : 1,074,096 = 1,074,096 : x
  2. Step 2: Convert to fraction form
    508,698/1,074,096 = 1,074,096/x
  3. Step 3: Cross multiply
    508,698x = 1,074,096 × 1,074,096
  4. Step 4: Simplify right side
    508,698x = 1,153,682,217,216
  5. Step 5: Solve for x
    x = 1,153,682,217,216/508,698
  6. Step 6: Final answer
    x = 2,267,911.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.