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Finding the Third Proportional to 1,420,764 and 2,173,437

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Solution

The third proportional to 1,420,764 and 2,173,437 is: 3,324,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,764 : 2,173,437 = 2,173,437 : x
  2. Step 2: Convert to fraction form
    1,420,764/2,173,437 = 2,173,437/x
  3. Step 3: Cross multiply
    1,420,764x = 2,173,437 × 2,173,437
  4. Step 4: Simplify right side
    1,420,764x = 4,723,828,392,969
  5. Step 5: Solve for x
    x = 4,723,828,392,969/1,420,764
  6. Step 6: Final answer
    x = 3,324,850.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.