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Finding the Third Proportional to 477,372,574 and 1,028,199,182

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Solution

The third proportional to 477,372,574 and 1,028,199,182 is: 2,214,608,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,372,574 : 1,028,199,182 = 1,028,199,182 : x
  2. Step 2: Convert to fraction form
    477,372,574/1,028,199,182 = 1,028,199,182/x
  3. Step 3: Cross multiply
    477,372,574x = 1,028,199,182 × 1,028,199,182
  4. Step 4: Simplify right side
    477,372,574x = 1,057,193,557,865,469,184
  5. Step 5: Solve for x
    x = 1,057,193,557,865,469,184/477,372,574
  6. Step 6: Final answer
    x = 2,214,608,914.39

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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.