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Finding the Third Proportional to 397,945,764 and 856,357,704

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Solution

The third proportional to 397,945,764 and 856,357,704 is: 1,842,835,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,945,764 : 856,357,704 = 856,357,704 : x
  2. Step 2: Convert to fraction form
    397,945,764/856,357,704 = 856,357,704/x
  3. Step 3: Cross multiply
    397,945,764x = 856,357,704 × 856,357,704
  4. Step 4: Simplify right side
    397,945,764x = 733,348,517,200,151,552
  5. Step 5: Solve for x
    x = 733,348,517,200,151,552/397,945,764
  6. Step 6: Final answer
    x = 1,842,835,339.74

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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.