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Finding the Third Proportional to 529,261 and 1,163,497

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Solution

The third proportional to 529,261 and 1,163,497 is: 2,557,765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,261 : 1,163,497 = 1,163,497 : x
  2. Step 2: Convert to fraction form
    529,261/1,163,497 = 1,163,497/x
  3. Step 3: Cross multiply
    529,261x = 1,163,497 × 1,163,497
  4. Step 4: Simplify right side
    529,261x = 1,353,725,269,009
  5. Step 5: Solve for x
    x = 1,353,725,269,009/529,261
  6. Step 6: Final answer
    x = 2,557,765.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.