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Finding the Third Proportional to 968,212 and 2,047,236.50

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Solution

The third proportional to 968,212 and 2,047,236.50 is: 4,328,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,212 : 2,047,236.50 = 2,047,236.50 : x
  2. Step 2: Convert to fraction form
    968,212/2,047,236.50 = 2,047,236.50/x
  3. Step 3: Cross multiply
    968,212x = 2,047,236.50 × 2,047,236.50
  4. Step 4: Simplify right side
    968,212x = 4,191,177,286,932.25
  5. Step 5: Solve for x
    x = 4,191,177,286,932.25/968,212
  6. Step 6: Final answer
    x = 4,328,780.56

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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.