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Finding the Third Proportional to 473,781.50 and 1,036,136

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Solution

The third proportional to 473,781.50 and 1,036,136 is: 2,265,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,781.50 : 1,036,136 = 1,036,136 : x
  2. Step 2: Convert to fraction form
    473,781.50/1,036,136 = 1,036,136/x
  3. Step 3: Cross multiply
    473,781.50x = 1,036,136 × 1,036,136
  4. Step 4: Simplify right side
    473,781.50x = 1,073,577,810,496
  5. Step 5: Solve for x
    x = 1,073,577,810,496/473,781.50
  6. Step 6: Final answer
    x = 2,265,976.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.