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Finding the Third Proportional to 902,735,224 and 1,247,375,058

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Solution

The third proportional to 902,735,224 and 1,247,375,058 is: 1,723,589,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,735,224 : 1,247,375,058 = 1,247,375,058 : x
  2. Step 2: Convert to fraction form
    902,735,224/1,247,375,058 = 1,247,375,058/x
  3. Step 3: Cross multiply
    902,735,224x = 1,247,375,058 × 1,247,375,058
  4. Step 4: Simplify right side
    902,735,224x = 1,555,944,535,320,503,296
  5. Step 5: Solve for x
    x = 1,555,944,535,320,503,296/902,735,224
  6. Step 6: Final answer
    x = 1,723,589,036.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.