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Finding the Third Proportional to 477,372,552 and 1,028,199,144

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Solution

The third proportional to 477,372,552 and 1,028,199,144 is: 2,214,608,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,372,552 : 1,028,199,144 = 1,028,199,144 : x
  2. Step 2: Convert to fraction form
    477,372,552/1,028,199,144 = 1,028,199,144/x
  3. Step 3: Cross multiply
    477,372,552x = 1,028,199,144 × 1,028,199,144
  4. Step 4: Simplify right side
    477,372,552x = 1,057,193,479,722,332,672
  5. Step 5: Solve for x
    x = 1,057,193,479,722,332,672/477,372,552
  6. Step 6: Final answer
    x = 2,214,608,852.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.