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Finding the Third Proportional to 494,912 and 1,084,424

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Solution

The third proportional to 494,912 and 1,084,424 is: 2,376,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,912 : 1,084,424 = 1,084,424 : x
  2. Step 2: Convert to fraction form
    494,912/1,084,424 = 1,084,424/x
  3. Step 3: Cross multiply
    494,912x = 1,084,424 × 1,084,424
  4. Step 4: Simplify right side
    494,912x = 1,175,975,411,776
  5. Step 5: Solve for x
    x = 1,175,975,411,776/494,912
  6. Step 6: Final answer
    x = 2,376,130.33

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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.