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Finding the Third Proportional to 963,224 and 1,416,906

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Solution

The third proportional to 963,224 and 1,416,906 is: 2,084,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,224 : 1,416,906 = 1,416,906 : x
  2. Step 2: Convert to fraction form
    963,224/1,416,906 = 1,416,906/x
  3. Step 3: Cross multiply
    963,224x = 1,416,906 × 1,416,906
  4. Step 4: Simplify right side
    963,224x = 2,007,622,612,836
  5. Step 5: Solve for x
    x = 2,007,622,612,836/963,224
  6. Step 6: Final answer
    x = 2,084,273.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.