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Finding the Third Proportional to 465,984 and 1,019,204

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Solution

The third proportional to 465,984 and 1,019,204 is: 2,229,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,984 : 1,019,204 = 1,019,204 : x
  2. Step 2: Convert to fraction form
    465,984/1,019,204 = 1,019,204/x
  3. Step 3: Cross multiply
    465,984x = 1,019,204 × 1,019,204
  4. Step 4: Simplify right side
    465,984x = 1,038,776,793,616
  5. Step 5: Solve for x
    x = 1,038,776,793,616/465,984
  6. Step 6: Final answer
    x = 2,229,211.29

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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.