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Finding the Third Proportional to 397,945,701 and 856,357,578

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Solution

The third proportional to 397,945,701 and 856,357,578 is: 1,842,835,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,945,701 : 856,357,578 = 856,357,578 : x
  2. Step 2: Convert to fraction form
    397,945,701/856,357,578 = 856,357,578/x
  3. Step 3: Cross multiply
    397,945,701x = 856,357,578 × 856,357,578
  4. Step 4: Simplify right side
    397,945,701x = 733,348,301,398,026,112
  5. Step 5: Solve for x
    x = 733,348,301,398,026,112/397,945,701
  6. Step 6: Final answer
    x = 1,842,835,089.20

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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.