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Finding the Third Proportional to 455,478.75 and 974,027.25

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Solution

The third proportional to 455,478.75 and 974,027.25 is: 2,082,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,478.75 : 974,027.25 = 974,027.25 : x
  2. Step 2: Convert to fraction form
    455,478.75/974,027.25 = 974,027.25/x
  3. Step 3: Cross multiply
    455,478.75x = 974,027.25 × 974,027.25
  4. Step 4: Simplify right side
    455,478.75x = 948,729,083,742.56
  5. Step 5: Solve for x
    x = 948,729,083,742.56/455,478.75
  6. Step 6: Final answer
    x = 2,082,927.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.