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Finding the Third Proportional to 421,992 and 924,024

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Solution

The third proportional to 421,992 and 924,024 is: 2,023,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,992 : 924,024 = 924,024 : x
  2. Step 2: Convert to fraction form
    421,992/924,024 = 924,024/x
  3. Step 3: Cross multiply
    421,992x = 924,024 × 924,024
  4. Step 4: Simplify right side
    421,992x = 853,820,352,576
  5. Step 5: Solve for x
    x = 853,820,352,576/421,992
  6. Step 6: Final answer
    x = 2,023,309.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.