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Finding the Third Proportional to 397,882,536 and 856,231,266

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Solution

The third proportional to 397,882,536 and 856,231,266 is: 1,842,583,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,882,536 : 856,231,266 = 856,231,266 : x
  2. Step 2: Convert to fraction form
    397,882,536/856,231,266 = 856,231,266/x
  3. Step 3: Cross multiply
    397,882,536x = 856,231,266 × 856,231,266
  4. Step 4: Simplify right side
    397,882,536x = 733,131,980,875,962,752
  5. Step 5: Solve for x
    x = 733,131,980,875,962,752/397,882,536
  6. Step 6: Final answer
    x = 1,842,583,965.22

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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.