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Finding the Third Proportional to 705,136 and 1,522,476

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Solution

The third proportional to 705,136 and 1,522,476 is: 3,287,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,136 : 1,522,476 = 1,522,476 : x
  2. Step 2: Convert to fraction form
    705,136/1,522,476 = 1,522,476/x
  3. Step 3: Cross multiply
    705,136x = 1,522,476 × 1,522,476
  4. Step 4: Simplify right side
    705,136x = 2,317,933,170,576
  5. Step 5: Solve for x
    x = 2,317,933,170,576/705,136
  6. Step 6: Final answer
    x = 3,287,214.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.