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Finding the Third Proportional to 422,470 and 939,396

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Solution

The third proportional to 422,470 and 939,396 is: 2,088,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,470 : 939,396 = 939,396 : x
  2. Step 2: Convert to fraction form
    422,470/939,396 = 939,396/x
  3. Step 3: Cross multiply
    422,470x = 939,396 × 939,396
  4. Step 4: Simplify right side
    422,470x = 882,464,844,816
  5. Step 5: Solve for x
    x = 882,464,844,816/422,470
  6. Step 6: Final answer
    x = 2,088,822.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.