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Finding the Third Proportional to 465,945 and 1,019,125

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Solution

The third proportional to 465,945 and 1,019,125 is: 2,229,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,945 : 1,019,125 = 1,019,125 : x
  2. Step 2: Convert to fraction form
    465,945/1,019,125 = 1,019,125/x
  3. Step 3: Cross multiply
    465,945x = 1,019,125 × 1,019,125
  4. Step 4: Simplify right side
    465,945x = 1,038,615,765,625
  5. Step 5: Solve for x
    x = 1,038,615,765,625/465,945
  6. Step 6: Final answer
    x = 2,229,052.28

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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.