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Finding the Third Proportional to 829,695 and 1,820,094

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Solution

The third proportional to 829,695 and 1,820,094 is: 3,992,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,695 : 1,820,094 = 1,820,094 : x
  2. Step 2: Convert to fraction form
    829,695/1,820,094 = 1,820,094/x
  3. Step 3: Cross multiply
    829,695x = 1,820,094 × 1,820,094
  4. Step 4: Simplify right side
    829,695x = 3,312,742,168,836
  5. Step 5: Solve for x
    x = 3,312,742,168,836/829,695
  6. Step 6: Final answer
    x = 3,992,722.83

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