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Finding the Third Proportional to 932,356,078 and 1,398,191,762

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Solution

The third proportional to 932,356,078 and 1,398,191,762 is: 2,096,774,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,356,078 : 1,398,191,762 = 1,398,191,762 : x
  2. Step 2: Convert to fraction form
    932,356,078/1,398,191,762 = 1,398,191,762/x
  3. Step 3: Cross multiply
    932,356,078x = 1,398,191,762 × 1,398,191,762
  4. Step 4: Simplify right side
    932,356,078x = 1,954,940,203,324,664,576
  5. Step 5: Solve for x
    x = 1,954,940,203,324,664,576/932,356,078
  6. Step 6: Final answer
    x = 2,096,774,236.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.