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Finding the Third Proportional to 683,623.50 and 1,473,225

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Solution

The third proportional to 683,623.50 and 1,473,225 is: 3,174,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,623.50 : 1,473,225 = 1,473,225 : x
  2. Step 2: Convert to fraction form
    683,623.50/1,473,225 = 1,473,225/x
  3. Step 3: Cross multiply
    683,623.50x = 1,473,225 × 1,473,225
  4. Step 4: Simplify right side
    683,623.50x = 2,170,391,900,625
  5. Step 5: Solve for x
    x = 2,170,391,900,625/683,623.50
  6. Step 6: Final answer
    x = 3,174,835.13

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Why These Related Problems?

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