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Finding the Third Proportional to 473,825 and 1,036,225

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Solution

The third proportional to 473,825 and 1,036,225 is: 2,266,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,825 : 1,036,225 = 1,036,225 : x
  2. Step 2: Convert to fraction form
    473,825/1,036,225 = 1,036,225/x
  3. Step 3: Cross multiply
    473,825x = 1,036,225 × 1,036,225
  4. Step 4: Simplify right side
    473,825x = 1,073,762,250,625
  5. Step 5: Solve for x
    x = 1,073,762,250,625/473,825
  6. Step 6: Final answer
    x = 2,266,157.87

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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.