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Finding the Third Proportional to 694,266.19 and 921,214.69

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Solution

The third proportional to 694,266.19 and 921,214.69 is: 1,222,350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,266.19 : 921,214.69 = 921,214.69 : x
  2. Step 2: Convert to fraction form
    694,266.19/921,214.69 = 921,214.69/x
  3. Step 3: Cross multiply
    694,266.19x = 921,214.69 × 921,214.69
  4. Step 4: Simplify right side
    694,266.19x = 848,636,500,465.72
  5. Step 5: Solve for x
    x = 848,636,500,465.72/694,266.19
  6. Step 6: Final answer
    x = 1,222,350.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.