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Finding the Third Proportional to 832,849.50 and 1,808,400

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Solution

The third proportional to 832,849.50 and 1,808,400 is: 3,926,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,849.50 : 1,808,400 = 1,808,400 : x
  2. Step 2: Convert to fraction form
    832,849.50/1,808,400 = 1,808,400/x
  3. Step 3: Cross multiply
    832,849.50x = 1,808,400 × 1,808,400
  4. Step 4: Simplify right side
    832,849.50x = 3,270,310,560,000
  5. Step 5: Solve for x
    x = 3,270,310,560,000/832,849.50
  6. Step 6: Final answer
    x = 3,926,652.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.