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Finding the Third Proportional to 694,274.63 and 921,223.13

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Solution

The third proportional to 694,274.63 and 921,223.13 is: 1,222,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,274.63 : 921,223.13 = 921,223.13 : x
  2. Step 2: Convert to fraction form
    694,274.63/921,223.13 = 921,223.13/x
  3. Step 3: Cross multiply
    694,274.63x = 921,223.13 × 921,223.13
  4. Step 4: Simplify right side
    694,274.63x = 848,652,046,034.77
  5. Step 5: Solve for x
    x = 848,652,046,034.77/694,274.63
  6. Step 6: Final answer
    x = 1,222,357.86

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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.