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Finding the Third Proportional to 804,390.75 and 1,664,462.25

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Solution

The third proportional to 804,390.75 and 1,664,462.25 is: 3,444,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,390.75 : 1,664,462.25 = 1,664,462.25 : x
  2. Step 2: Convert to fraction form
    804,390.75/1,664,462.25 = 1,664,462.25/x
  3. Step 3: Cross multiply
    804,390.75x = 1,664,462.25 × 1,664,462.25
  4. Step 4: Simplify right side
    804,390.75x = 2,770,434,581,675.06
  5. Step 5: Solve for x
    x = 2,770,434,581,675.06/804,390.75
  6. Step 6: Final answer
    x = 3,444,140.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.