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Finding the Third Proportional to 1,058,174 and 2,351,764

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Solution

The third proportional to 1,058,174 and 2,351,764 is: 5,226,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,174 : 2,351,764 = 2,351,764 : x
  2. Step 2: Convert to fraction form
    1,058,174/2,351,764 = 2,351,764/x
  3. Step 3: Cross multiply
    1,058,174x = 2,351,764 × 2,351,764
  4. Step 4: Simplify right side
    1,058,174x = 5,530,793,911,696
  5. Step 5: Solve for x
    x = 5,530,793,911,696/1,058,174
  6. Step 6: Final answer
    x = 5,226,733.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.