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Finding the Third Proportional to 928,088 and 1,977,568

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Solution

The third proportional to 928,088 and 1,977,568 is: 4,213,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,088 : 1,977,568 = 1,977,568 : x
  2. Step 2: Convert to fraction form
    928,088/1,977,568 = 1,977,568/x
  3. Step 3: Cross multiply
    928,088x = 1,977,568 × 1,977,568
  4. Step 4: Simplify right side
    928,088x = 3,910,775,194,624
  5. Step 5: Solve for x
    x = 3,910,775,194,624/928,088
  6. Step 6: Final answer
    x = 4,213,797.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.