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Finding the Third Proportional to 529,824 and 1,135,404

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Solution

The third proportional to 529,824 and 1,135,404 is: 2,433,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,824 : 1,135,404 = 1,135,404 : x
  2. Step 2: Convert to fraction form
    529,824/1,135,404 = 1,135,404/x
  3. Step 3: Cross multiply
    529,824x = 1,135,404 × 1,135,404
  4. Step 4: Simplify right side
    529,824x = 1,289,142,243,216
  5. Step 5: Solve for x
    x = 1,289,142,243,216/529,824
  6. Step 6: Final answer
    x = 2,433,151.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.