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Finding the Third Proportional to 494,218 and 1,084,664

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Solution

The third proportional to 494,218 and 1,084,664 is: 2,380,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,218 : 1,084,664 = 1,084,664 : x
  2. Step 2: Convert to fraction form
    494,218/1,084,664 = 1,084,664/x
  3. Step 3: Cross multiply
    494,218x = 1,084,664 × 1,084,664
  4. Step 4: Simplify right side
    494,218x = 1,176,495,992,896
  5. Step 5: Solve for x
    x = 1,176,495,992,896/494,218
  6. Step 6: Final answer
    x = 2,380,520.32

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