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Finding the Third Proportional to 829,274 and 1,742,104

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Solution

The third proportional to 829,274 and 1,742,104 is: 3,659,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,274 : 1,742,104 = 1,742,104 : x
  2. Step 2: Convert to fraction form
    829,274/1,742,104 = 1,742,104/x
  3. Step 3: Cross multiply
    829,274x = 1,742,104 × 1,742,104
  4. Step 4: Simplify right side
    829,274x = 3,034,926,346,816
  5. Step 5: Solve for x
    x = 3,034,926,346,816/829,274
  6. Step 6: Final answer
    x = 3,659,738.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.