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Finding the Third Proportional to 422,522 and 939,499

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Solution

The third proportional to 422,522 and 939,499 is: 2,089,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,522 : 939,499 = 939,499 : x
  2. Step 2: Convert to fraction form
    422,522/939,499 = 939,499/x
  3. Step 3: Cross multiply
    422,522x = 939,499 × 939,499
  4. Step 4: Simplify right side
    422,522x = 882,658,371,001
  5. Step 5: Solve for x
    x = 882,658,371,001/422,522
  6. Step 6: Final answer
    x = 2,089,023.46

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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.