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Finding the Third Proportional to 529,341 and 1,153,848

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Solution

The third proportional to 529,341 and 1,153,848 is: 2,515,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,341 : 1,153,848 = 1,153,848 : x
  2. Step 2: Convert to fraction form
    529,341/1,153,848 = 1,153,848/x
  3. Step 3: Cross multiply
    529,341x = 1,153,848 × 1,153,848
  4. Step 4: Simplify right side
    529,341x = 1,331,365,207,104
  5. Step 5: Solve for x
    x = 1,331,365,207,104/529,341
  6. Step 6: Final answer
    x = 2,515,137.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.