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Finding the Third Proportional to 390,847 and 856,510

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Solution

The third proportional to 390,847 and 856,510 is: 1,876,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,847 : 856,510 = 856,510 : x
  2. Step 2: Convert to fraction form
    390,847/856,510 = 856,510/x
  3. Step 3: Cross multiply
    390,847x = 856,510 × 856,510
  4. Step 4: Simplify right side
    390,847x = 733,609,380,100
  5. Step 5: Solve for x
    x = 733,609,380,100/390,847
  6. Step 6: Final answer
    x = 1,876,973.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.