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Finding the Third Proportional to 2,004,965 and 4,312,073

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Solution

The third proportional to 2,004,965 and 4,312,073 is: 9,273,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,965 : 4,312,073 = 4,312,073 : x
  2. Step 2: Convert to fraction form
    2,004,965/4,312,073 = 4,312,073/x
  3. Step 3: Cross multiply
    2,004,965x = 4,312,073 × 4,312,073
  4. Step 4: Simplify right side
    2,004,965x = 18,593,973,557,329
  5. Step 5: Solve for x
    x = 18,593,973,557,329/2,004,965
  6. Step 6: Final answer
    x = 9,273,964.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.