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Finding the Third Proportional to 470,997 and 1,020,186

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Solution

The third proportional to 470,997 and 1,020,186 is: 2,209,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,997 : 1,020,186 = 1,020,186 : x
  2. Step 2: Convert to fraction form
    470,997/1,020,186 = 1,020,186/x
  3. Step 3: Cross multiply
    470,997x = 1,020,186 × 1,020,186
  4. Step 4: Simplify right side
    470,997x = 1,040,779,474,596
  5. Step 5: Solve for x
    x = 1,040,779,474,596/470,997
  6. Step 6: Final answer
    x = 2,209,736.95

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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.