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Finding the Third Proportional to 4,058,766 and 6,422,094

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Solution

The third proportional to 4,058,766 and 6,422,094 is: 10,161,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058,766 : 6,422,094 = 6,422,094 : x
  2. Step 2: Convert to fraction form
    4,058,766/6,422,094 = 6,422,094/x
  3. Step 3: Cross multiply
    4,058,766x = 6,422,094 × 6,422,094
  4. Step 4: Simplify right side
    4,058,766x = 41,243,291,344,836
  5. Step 5: Solve for x
    x = 41,243,291,344,836/4,058,766
  6. Step 6: Final answer
    x = 10,161,534.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.