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Finding the Third Proportional to 466,011 and 1,019,245

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Solution

The third proportional to 466,011 and 1,019,245 is: 2,229,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,011 : 1,019,245 = 1,019,245 : x
  2. Step 2: Convert to fraction form
    466,011/1,019,245 = 1,019,245/x
  3. Step 3: Cross multiply
    466,011x = 1,019,245 × 1,019,245
  4. Step 4: Simplify right side
    466,011x = 1,038,860,370,025
  5. Step 5: Solve for x
    x = 1,038,860,370,025/466,011
  6. Step 6: Final answer
    x = 2,229,261.48

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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.