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Finding the Third Proportional to 1,965,953 and 2,966,993

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Solution

The third proportional to 1,965,953 and 2,966,993 is: 4,477,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,953 : 2,966,993 = 2,966,993 : x
  2. Step 2: Convert to fraction form
    1,965,953/2,966,993 = 2,966,993/x
  3. Step 3: Cross multiply
    1,965,953x = 2,966,993 × 2,966,993
  4. Step 4: Simplify right side
    1,965,953x = 8,803,047,462,049
  5. Step 5: Solve for x
    x = 8,803,047,462,049/1,965,953
  6. Step 6: Final answer
    x = 4,477,750.72

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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.