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Finding the Third Proportional to 389,915,424 and 856,362,744

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Solution

The third proportional to 389,915,424 and 856,362,744 is: 1,880,810,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,915,424 : 856,362,744 = 856,362,744 : x
  2. Step 2: Convert to fraction form
    389,915,424/856,362,744 = 856,362,744/x
  3. Step 3: Cross multiply
    389,915,424x = 856,362,744 × 856,362,744
  4. Step 4: Simplify right side
    389,915,424x = 733,357,149,311,209,472
  5. Step 5: Solve for x
    x = 733,357,149,311,209,472/389,915,424
  6. Step 6: Final answer
    x = 1,880,810,822.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.