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Finding the Third Proportional to 856,842 and 1,881,831

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Solution

The third proportional to 856,842 and 1,881,831 is: 4,132,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,842 : 1,881,831 = 1,881,831 : x
  2. Step 2: Convert to fraction form
    856,842/1,881,831 = 1,881,831/x
  3. Step 3: Cross multiply
    856,842x = 1,881,831 × 1,881,831
  4. Step 4: Simplify right side
    856,842x = 3,541,287,912,561
  5. Step 5: Solve for x
    x = 3,541,287,912,561/856,842
  6. Step 6: Final answer
    x = 4,132,953.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.