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Finding the Third Proportional to 807,344 and 1,903,136

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Solution

The third proportional to 807,344 and 1,903,136 is: 4,486,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,344 : 1,903,136 = 1,903,136 : x
  2. Step 2: Convert to fraction form
    807,344/1,903,136 = 1,903,136/x
  3. Step 3: Cross multiply
    807,344x = 1,903,136 × 1,903,136
  4. Step 4: Simplify right side
    807,344x = 3,621,926,634,496
  5. Step 5: Solve for x
    x = 3,621,926,634,496/807,344
  6. Step 6: Final answer
    x = 4,486,224.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.