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Finding the Third Proportional to 4,301,678 and 6,602,907

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Solution

The third proportional to 4,301,678 and 6,602,907 is: 10,135,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301,678 : 6,602,907 = 6,602,907 : x
  2. Step 2: Convert to fraction form
    4,301,678/6,602,907 = 6,602,907/x
  3. Step 3: Cross multiply
    4,301,678x = 6,602,907 × 6,602,907
  4. Step 4: Simplify right side
    4,301,678x = 43,598,380,850,649
  5. Step 5: Solve for x
    x = 43,598,380,850,649/4,301,678
  6. Step 6: Final answer
    x = 10,135,203.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.