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Finding the Third Proportional to 2,058,948 and 3,104,625

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Solution

The third proportional to 2,058,948 and 3,104,625 is: 4,681,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058,948 : 3,104,625 = 3,104,625 : x
  2. Step 2: Convert to fraction form
    2,058,948/3,104,625 = 3,104,625/x
  3. Step 3: Cross multiply
    2,058,948x = 3,104,625 × 3,104,625
  4. Step 4: Simplify right side
    2,058,948x = 9,638,696,390,625
  5. Step 5: Solve for x
    x = 9,638,696,390,625/2,058,948
  6. Step 6: Final answer
    x = 4,681,369.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.