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Finding the Third Proportional to 471,018 and 1,020,228

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Solution

The third proportional to 471,018 and 1,020,228 is: 2,209,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,018 : 1,020,228 = 1,020,228 : x
  2. Step 2: Convert to fraction form
    471,018/1,020,228 = 1,020,228/x
  3. Step 3: Cross multiply
    471,018x = 1,020,228 × 1,020,228
  4. Step 4: Simplify right side
    471,018x = 1,040,865,171,984
  5. Step 5: Solve for x
    x = 1,040,865,171,984/471,018
  6. Step 6: Final answer
    x = 2,209,820.37

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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.