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Finding the Third Proportional to 1,806,964.14 and 2,477,836.83

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Solution

The third proportional to 1,806,964.14 and 2,477,836.83 is: 3,397,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806,964.14 : 2,477,836.83 = 2,477,836.83 : x
  2. Step 2: Convert to fraction form
    1,806,964.14/2,477,836.83 = 2,477,836.83/x
  3. Step 3: Cross multiply
    1,806,964.14x = 2,477,836.83 × 2,477,836.83
  4. Step 4: Simplify right side
    1,806,964.14x = 6,139,675,346,812.56
  5. Step 5: Solve for x
    x = 6,139,675,346,812.56/1,806,964.14
  6. Step 6: Final answer
    x = 3,397,784.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.