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Finding the Third Proportional to 628,916 and 1,364,136

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Solution

The third proportional to 628,916 and 1,364,136 is: 2,958,848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,916 : 1,364,136 = 1,364,136 : x
  2. Step 2: Convert to fraction form
    628,916/1,364,136 = 1,364,136/x
  3. Step 3: Cross multiply
    628,916x = 1,364,136 × 1,364,136
  4. Step 4: Simplify right side
    628,916x = 1,860,867,026,496
  5. Step 5: Solve for x
    x = 1,860,867,026,496/628,916
  6. Step 6: Final answer
    x = 2,958,848.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.