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Finding the Third Proportional to 4,191,058 and 6,406,873

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Solution

The third proportional to 4,191,058 and 6,406,873 is: 9,794,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191,058 : 6,406,873 = 6,406,873 : x
  2. Step 2: Convert to fraction form
    4,191,058/6,406,873 = 6,406,873/x
  3. Step 3: Cross multiply
    4,191,058x = 6,406,873 × 6,406,873
  4. Step 4: Simplify right side
    4,191,058x = 41,048,021,638,129
  5. Step 5: Solve for x
    x = 41,048,021,638,129/4,191,058
  6. Step 6: Final answer
    x = 9,794,190.78

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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.