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Finding the Third Proportional to 422,324 and 939,088

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Solution

The third proportional to 422,324 and 939,088 is: 2,088,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,324 : 939,088 = 939,088 : x
  2. Step 2: Convert to fraction form
    422,324/939,088 = 939,088/x
  3. Step 3: Cross multiply
    422,324x = 939,088 × 939,088
  4. Step 4: Simplify right side
    422,324x = 881,886,271,744
  5. Step 5: Solve for x
    x = 881,886,271,744/422,324
  6. Step 6: Final answer
    x = 2,088,174.65

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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.