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Finding the Third Proportional to 465,939 and 1,019,115

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Solution

The third proportional to 465,939 and 1,019,115 is: 2,229,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,939 : 1,019,115 = 1,019,115 : x
  2. Step 2: Convert to fraction form
    465,939/1,019,115 = 1,019,115/x
  3. Step 3: Cross multiply
    465,939x = 1,019,115 × 1,019,115
  4. Step 4: Simplify right side
    465,939x = 1,038,595,383,225
  5. Step 5: Solve for x
    x = 1,038,595,383,225/465,939
  6. Step 6: Final answer
    x = 2,229,037.24

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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.