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Finding the Third Proportional to 829,885.50 and 1,824,390

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Solution

The third proportional to 829,885.50 and 1,824,390 is: 4,010,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,885.50 : 1,824,390 = 1,824,390 : x
  2. Step 2: Convert to fraction form
    829,885.50/1,824,390 = 1,824,390/x
  3. Step 3: Cross multiply
    829,885.50x = 1,824,390 × 1,824,390
  4. Step 4: Simplify right side
    829,885.50x = 3,328,398,872,100
  5. Step 5: Solve for x
    x = 3,328,398,872,100/829,885.50
  6. Step 6: Final answer
    x = 4,010,672.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.