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Finding the Third Proportional to 666,782.25 and 1,445,667.75

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Solution

The third proportional to 666,782.25 and 1,445,667.75 is: 3,134,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,782.25 : 1,445,667.75 = 1,445,667.75 : x
  2. Step 2: Convert to fraction form
    666,782.25/1,445,667.75 = 1,445,667.75/x
  3. Step 3: Cross multiply
    666,782.25x = 1,445,667.75 × 1,445,667.75
  4. Step 4: Simplify right side
    666,782.25x = 2,089,955,243,390.06
  5. Step 5: Solve for x
    x = 2,089,955,243,390.06/666,782.25
  6. Step 6: Final answer
    x = 3,134,389.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.