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Finding the Third Proportional to 459,447.75 and 1,054,554.75

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Solution

The third proportional to 459,447.75 and 1,054,554.75 is: 2,420,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,447.75 : 1,054,554.75 = 1,054,554.75 : x
  2. Step 2: Convert to fraction form
    459,447.75/1,054,554.75 = 1,054,554.75/x
  3. Step 3: Cross multiply
    459,447.75x = 1,054,554.75 × 1,054,554.75
  4. Step 4: Simplify right side
    459,447.75x = 1,112,085,720,747.56
  5. Step 5: Solve for x
    x = 1,112,085,720,747.56/459,447.75
  6. Step 6: Final answer
    x = 2,420,483.55

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.