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Finding the Third Proportional to 529,158 and 1,163,664

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Solution

The third proportional to 529,158 and 1,163,664 is: 2,558,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,158 : 1,163,664 = 1,163,664 : x
  2. Step 2: Convert to fraction form
    529,158/1,163,664 = 1,163,664/x
  3. Step 3: Cross multiply
    529,158x = 1,163,664 × 1,163,664
  4. Step 4: Simplify right side
    529,158x = 1,354,113,904,896
  5. Step 5: Solve for x
    x = 1,354,113,904,896/529,158
  6. Step 6: Final answer
    x = 2,558,997.32

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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.