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Finding the Third Proportional to 2,019,717 and 4,419,483.75

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Solution

The third proportional to 2,019,717 and 4,419,483.75 is: 9,670,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,717 : 4,419,483.75 = 4,419,483.75 : x
  2. Step 2: Convert to fraction form
    2,019,717/4,419,483.75 = 4,419,483.75/x
  3. Step 3: Cross multiply
    2,019,717x = 4,419,483.75 × 4,419,483.75
  4. Step 4: Simplify right side
    2,019,717x = 19,531,836,616,514.06
  5. Step 5: Solve for x
    x = 19,531,836,616,514.06/2,019,717
  6. Step 6: Final answer
    x = 9,670,580.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.