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Finding the Third Proportional to 2,196,930 and 4,630,058

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Solution

The third proportional to 2,196,930 and 4,630,058 is: 9,757,906.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196,930 : 4,630,058 = 4,630,058 : x
  2. Step 2: Convert to fraction form
    2,196,930/4,630,058 = 4,630,058/x
  3. Step 3: Cross multiply
    2,196,930x = 4,630,058 × 4,630,058
  4. Step 4: Simplify right side
    2,196,930x = 21,437,437,083,364
  5. Step 5: Solve for x
    x = 21,437,437,083,364/2,196,930
  6. Step 6: Final answer
    x = 9,757,906.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.