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Finding the Third Proportional to 2,394,096.75 and 5,253,417

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Solution

The third proportional to 2,394,096.75 and 5,253,417 is: 11,527,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394,096.75 : 5,253,417 = 5,253,417 : x
  2. Step 2: Convert to fraction form
    2,394,096.75/5,253,417 = 5,253,417/x
  3. Step 3: Cross multiply
    2,394,096.75x = 5,253,417 × 5,253,417
  4. Step 4: Simplify right side
    2,394,096.75x = 27,598,390,175,889
  5. Step 5: Solve for x
    x = 27,598,390,175,889/2,394,096.75
  6. Step 6: Final answer
    x = 11,527,683.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.