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Finding the Third Proportional to 833,676 and 1,291,698

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Solution

The third proportional to 833,676 and 1,291,698 is: 2,001,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,676 : 1,291,698 = 1,291,698 : x
  2. Step 2: Convert to fraction form
    833,676/1,291,698 = 1,291,698/x
  3. Step 3: Cross multiply
    833,676x = 1,291,698 × 1,291,698
  4. Step 4: Simplify right side
    833,676x = 1,668,483,723,204
  5. Step 5: Solve for x
    x = 1,668,483,723,204/833,676
  6. Step 6: Final answer
    x = 2,001,357.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.