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Finding the Third Proportional to 2,434,072 and 5,193,944

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Solution

The third proportional to 2,434,072 and 5,193,944 is: 11,083,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434,072 : 5,193,944 = 5,193,944 : x
  2. Step 2: Convert to fraction form
    2,434,072/5,193,944 = 5,193,944/x
  3. Step 3: Cross multiply
    2,434,072x = 5,193,944 × 5,193,944
  4. Step 4: Simplify right side
    2,434,072x = 26,977,054,275,136
  5. Step 5: Solve for x
    x = 26,977,054,275,136/2,434,072
  6. Step 6: Final answer
    x = 11,083,096.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.