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Finding the Third Proportional to 706,165 and 1,554,849

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Solution

The third proportional to 706,165 and 1,554,849 is: 3,423,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,165 : 1,554,849 = 1,554,849 : x
  2. Step 2: Convert to fraction form
    706,165/1,554,849 = 1,554,849/x
  3. Step 3: Cross multiply
    706,165x = 1,554,849 × 1,554,849
  4. Step 4: Simplify right side
    706,165x = 2,417,555,412,801
  5. Step 5: Solve for x
    x = 2,417,555,412,801/706,165
  6. Step 6: Final answer
    x = 3,423,499.34

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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.