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Finding the Third Proportional to 397,945,765 and 856,357,706

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Solution

The third proportional to 397,945,765 and 856,357,706 is: 1,842,835,343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,945,765 : 856,357,706 = 856,357,706 : x
  2. Step 2: Convert to fraction form
    397,945,765/856,357,706 = 856,357,706/x
  3. Step 3: Cross multiply
    397,945,765x = 856,357,706 × 856,357,706
  4. Step 4: Simplify right side
    397,945,765x = 733,348,520,625,582,464
  5. Step 5: Solve for x
    x = 733,348,520,625,582,464/397,945,765
  6. Step 6: Final answer
    x = 1,842,835,343.72

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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.