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Finding the Third Proportional to 891,214 and 1,855,863

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Solution

The third proportional to 891,214 and 1,855,863 is: 3,864,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,214 : 1,855,863 = 1,855,863 : x
  2. Step 2: Convert to fraction form
    891,214/1,855,863 = 1,855,863/x
  3. Step 3: Cross multiply
    891,214x = 1,855,863 × 1,855,863
  4. Step 4: Simplify right side
    891,214x = 3,444,227,474,769
  5. Step 5: Solve for x
    x = 3,444,227,474,769/891,214
  6. Step 6: Final answer
    x = 3,864,646.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.