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Finding the Third Proportional to 500,380 and 1,021,136

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Solution

The third proportional to 500,380 and 1,021,136 is: 2,083,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,380 : 1,021,136 = 1,021,136 : x
  2. Step 2: Convert to fraction form
    500,380/1,021,136 = 1,021,136/x
  3. Step 3: Cross multiply
    500,380x = 1,021,136 × 1,021,136
  4. Step 4: Simplify right side
    500,380x = 1,042,718,730,496
  5. Step 5: Solve for x
    x = 1,042,718,730,496/500,380
  6. Step 6: Final answer
    x = 2,083,853.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.