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Finding the Third Proportional to 963,846 and 2,036,196

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Solution

The third proportional to 963,846 and 2,036,196 is: 4,301,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,846 : 2,036,196 = 2,036,196 : x
  2. Step 2: Convert to fraction form
    963,846/2,036,196 = 2,036,196/x
  3. Step 3: Cross multiply
    963,846x = 2,036,196 × 2,036,196
  4. Step 4: Simplify right side
    963,846x = 4,146,094,150,416
  5. Step 5: Solve for x
    x = 4,146,094,150,416/963,846
  6. Step 6: Final answer
    x = 4,301,614.73

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.