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Finding the Third Proportional to 477,372,562 and 1,028,199,164

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Solution

The third proportional to 477,372,562 and 1,028,199,164 is: 2,214,608,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,372,562 : 1,028,199,164 = 1,028,199,164 : x
  2. Step 2: Convert to fraction form
    477,372,562/1,028,199,164 = 1,028,199,164/x
  3. Step 3: Cross multiply
    477,372,562x = 1,028,199,164 × 1,028,199,164
  4. Step 4: Simplify right side
    477,372,562x = 1,057,193,520,850,298,880
  5. Step 5: Solve for x
    x = 1,057,193,520,850,298,880/477,372,562
  6. Step 6: Final answer
    x = 2,214,608,892.52

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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.