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Finding the Third Proportional to 2,490,524.25 and 3,646,965

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Solution

The third proportional to 2,490,524.25 and 3,646,965 is: 5,340,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490,524.25 : 3,646,965 = 3,646,965 : x
  2. Step 2: Convert to fraction form
    2,490,524.25/3,646,965 = 3,646,965/x
  3. Step 3: Cross multiply
    2,490,524.25x = 3,646,965 × 3,646,965
  4. Step 4: Simplify right side
    2,490,524.25x = 13,300,353,711,225
  5. Step 5: Solve for x
    x = 13,300,353,711,225/2,490,524.25
  6. Step 6: Final answer
    x = 5,340,383.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.