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Finding the Third Proportional to 4,511,058 and 7,405,569

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Solution

The third proportional to 4,511,058 and 7,405,569 is: 12,157,336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511,058 : 7,405,569 = 7,405,569 : x
  2. Step 2: Convert to fraction form
    4,511,058/7,405,569 = 7,405,569/x
  3. Step 3: Cross multiply
    4,511,058x = 7,405,569 × 7,405,569
  4. Step 4: Simplify right side
    4,511,058x = 54,842,452,213,761
  5. Step 5: Solve for x
    x = 54,842,452,213,761/4,511,058
  6. Step 6: Final answer
    x = 12,157,336.97

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.