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Finding the Third Proportional to 397,882,584 and 856,231,362

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Solution

The third proportional to 397,882,584 and 856,231,362 is: 1,842,584,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,882,584 : 856,231,362 = 856,231,362 : x
  2. Step 2: Convert to fraction form
    397,882,584/856,231,362 = 856,231,362/x
  3. Step 3: Cross multiply
    397,882,584x = 856,231,362 × 856,231,362
  4. Step 4: Simplify right side
    397,882,584x = 733,132,145,272,375,040
  5. Step 5: Solve for x
    x = 733,132,145,272,375,040/397,882,584
  6. Step 6: Final answer
    x = 1,842,584,156.11

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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.