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Finding the Third Proportional to 405,254,831 and 955,703,485

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Solution

The third proportional to 405,254,831 and 955,703,485 is: 2,253,814,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,254,831 : 955,703,485 = 955,703,485 : x
  2. Step 2: Convert to fraction form
    405,254,831/955,703,485 = 955,703,485/x
  3. Step 3: Cross multiply
    405,254,831x = 955,703,485 × 955,703,485
  4. Step 4: Simplify right side
    405,254,831x = 913,369,151,241,145,216
  5. Step 5: Solve for x
    x = 913,369,151,241,145,216/405,254,831
  6. Step 6: Final answer
    x = 2,253,814,344.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.