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Finding the Third Proportional to 1,189,964 and 1,812,835

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Solution

The third proportional to 1,189,964 and 1,812,835 is: 2,761,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,964 : 1,812,835 = 1,812,835 : x
  2. Step 2: Convert to fraction form
    1,189,964/1,812,835 = 1,812,835/x
  3. Step 3: Cross multiply
    1,189,964x = 1,812,835 × 1,812,835
  4. Step 4: Simplify right side
    1,189,964x = 3,286,370,737,225
  5. Step 5: Solve for x
    x = 3,286,370,737,225/1,189,964
  6. Step 6: Final answer
    x = 2,761,739.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.