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Finding the Third Proportional to 483,136 and 1,024,736

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Solution

The third proportional to 483,136 and 1,024,736 is: 2,173,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,136 : 1,024,736 = 1,024,736 : x
  2. Step 2: Convert to fraction form
    483,136/1,024,736 = 1,024,736/x
  3. Step 3: Cross multiply
    483,136x = 1,024,736 × 1,024,736
  4. Step 4: Simplify right side
    483,136x = 1,050,083,869,696
  5. Step 5: Solve for x
    x = 1,050,083,869,696/483,136
  6. Step 6: Final answer
    x = 2,173,474.69

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.