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Finding the Third Proportional to 466,015 and 1,019,253

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Solution

The third proportional to 466,015 and 1,019,253 is: 2,229,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,015 : 1,019,253 = 1,019,253 : x
  2. Step 2: Convert to fraction form
    466,015/1,019,253 = 1,019,253/x
  3. Step 3: Cross multiply
    466,015x = 1,019,253 × 1,019,253
  4. Step 4: Simplify right side
    466,015x = 1,038,876,678,009
  5. Step 5: Solve for x
    x = 1,038,876,678,009/466,015
  6. Step 6: Final answer
    x = 2,229,277.34

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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.