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Finding the Third Proportional to 455,460.75 and 973,991.25

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Solution

The third proportional to 455,460.75 and 973,991.25 is: 2,082,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,460.75 : 973,991.25 = 973,991.25 : x
  2. Step 2: Convert to fraction form
    455,460.75/973,991.25 = 973,991.25/x
  3. Step 3: Cross multiply
    455,460.75x = 973,991.25 × 973,991.25
  4. Step 4: Simplify right side
    455,460.75x = 948,658,955,076.56
  5. Step 5: Solve for x
    x = 948,658,955,076.56/455,460.75
  6. Step 6: Final answer
    x = 2,082,855.56

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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.