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Finding the Third Proportional to 731,054 and 1,630,200

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Solution

The third proportional to 731,054 and 1,630,200 is: 3,635,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,054 : 1,630,200 = 1,630,200 : x
  2. Step 2: Convert to fraction form
    731,054/1,630,200 = 1,630,200/x
  3. Step 3: Cross multiply
    731,054x = 1,630,200 × 1,630,200
  4. Step 4: Simplify right side
    731,054x = 2,657,552,040,000
  5. Step 5: Solve for x
    x = 2,657,552,040,000/731,054
  6. Step 6: Final answer
    x = 3,635,233.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.