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Finding the Third Proportional to 856,815 and 1,861,127

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Solution

The third proportional to 856,815 and 1,861,127 is: 4,042,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,815 : 1,861,127 = 1,861,127 : x
  2. Step 2: Convert to fraction form
    856,815/1,861,127 = 1,861,127/x
  3. Step 3: Cross multiply
    856,815x = 1,861,127 × 1,861,127
  4. Step 4: Simplify right side
    856,815x = 3,463,793,710,129
  5. Step 5: Solve for x
    x = 3,463,793,710,129/856,815
  6. Step 6: Final answer
    x = 4,042,638.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.