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Finding the Third Proportional to 856,840 and 1,881,827

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Solution

The third proportional to 856,840 and 1,881,827 is: 4,132,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,840 : 1,881,827 = 1,881,827 : x
  2. Step 2: Convert to fraction form
    856,840/1,881,827 = 1,881,827/x
  3. Step 3: Cross multiply
    856,840x = 1,881,827 × 1,881,827
  4. Step 4: Simplify right side
    856,840x = 3,541,272,857,929
  5. Step 5: Solve for x
    x = 3,541,272,857,929/856,840
  6. Step 6: Final answer
    x = 4,132,945.31

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Why These Related Problems?

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