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Finding the Third Proportional to 916,806 and 2,167,743

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Solution

The third proportional to 916,806 and 2,167,743 is: 5,125,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,806 : 2,167,743 = 2,167,743 : x
  2. Step 2: Convert to fraction form
    916,806/2,167,743 = 2,167,743/x
  3. Step 3: Cross multiply
    916,806x = 2,167,743 × 2,167,743
  4. Step 4: Simplify right side
    916,806x = 4,699,109,714,049
  5. Step 5: Solve for x
    x = 4,699,109,714,049/916,806
  6. Step 6: Final answer
    x = 5,125,522.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.