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Finding the Third Proportional to 1,058,006 and 2,351,452

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Solution

The third proportional to 1,058,006 and 2,351,452 is: 5,226,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,006 : 2,351,452 = 2,351,452 : x
  2. Step 2: Convert to fraction form
    1,058,006/2,351,452 = 2,351,452/x
  3. Step 3: Cross multiply
    1,058,006x = 2,351,452 × 2,351,452
  4. Step 4: Simplify right side
    1,058,006x = 5,529,326,508,304
  5. Step 5: Solve for x
    x = 5,529,326,508,304/1,058,006
  6. Step 6: Final answer
    x = 5,226,176.89

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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.