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Finding the Third Proportional to 829,458 and 1,819,620

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Solution

The third proportional to 829,458 and 1,819,620 is: 3,991,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,458 : 1,819,620 = 1,819,620 : x
  2. Step 2: Convert to fraction form
    829,458/1,819,620 = 1,819,620/x
  3. Step 3: Cross multiply
    829,458x = 1,819,620 × 1,819,620
  4. Step 4: Simplify right side
    829,458x = 3,311,016,944,400
  5. Step 5: Solve for x
    x = 3,311,016,944,400/829,458
  6. Step 6: Final answer
    x = 3,991,783.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.