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Finding the Third Proportional to 2,632,938 and 3,932,032

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Solution

The third proportional to 2,632,938 and 3,932,032 is: 5,872,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632,938 : 3,932,032 = 3,932,032 : x
  2. Step 2: Convert to fraction form
    2,632,938/3,932,032 = 3,932,032/x
  3. Step 3: Cross multiply
    2,632,938x = 3,932,032 × 3,932,032
  4. Step 4: Simplify right side
    2,632,938x = 15,460,875,649,024
  5. Step 5: Solve for x
    x = 15,460,875,649,024/2,632,938
  6. Step 6: Final answer
    x = 5,872,100.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.