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Finding the Third Proportional to 856,281 and 1,855,194

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Solution

The third proportional to 856,281 and 1,855,194 is: 4,019,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,281 : 1,855,194 = 1,855,194 : x
  2. Step 2: Convert to fraction form
    856,281/1,855,194 = 1,855,194/x
  3. Step 3: Cross multiply
    856,281x = 1,855,194 × 1,855,194
  4. Step 4: Simplify right side
    856,281x = 3,441,744,777,636
  5. Step 5: Solve for x
    x = 3,441,744,777,636/856,281
  6. Step 6: Final answer
    x = 4,019,410.42

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