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Finding the Third Proportional to 458,050 and 976,962

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Solution

The third proportional to 458,050 and 976,962 is: 2,083,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,050 : 976,962 = 976,962 : x
  2. Step 2: Convert to fraction form
    458,050/976,962 = 976,962/x
  3. Step 3: Cross multiply
    458,050x = 976,962 × 976,962
  4. Step 4: Simplify right side
    458,050x = 954,454,749,444
  5. Step 5: Solve for x
    x = 954,454,749,444/458,050
  6. Step 6: Final answer
    x = 2,083,734.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.