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Finding the Third Proportional to 963,832 and 2,036,168

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Solution

The third proportional to 963,832 and 2,036,168 is: 4,301,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,832 : 2,036,168 = 2,036,168 : x
  2. Step 2: Convert to fraction form
    963,832/2,036,168 = 2,036,168/x
  3. Step 3: Cross multiply
    963,832x = 2,036,168 × 2,036,168
  4. Step 4: Simplify right side
    963,832x = 4,145,980,124,224
  5. Step 5: Solve for x
    x = 4,145,980,124,224/963,832
  6. Step 6: Final answer
    x = 4,301,558.91

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Why These Related Problems?

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