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Finding the Third Proportional to 829,700 and 1,820,104

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Solution

The third proportional to 829,700 and 1,820,104 is: 3,992,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,700 : 1,820,104 = 1,820,104 : x
  2. Step 2: Convert to fraction form
    829,700/1,820,104 = 1,820,104/x
  3. Step 3: Cross multiply
    829,700x = 1,820,104 × 1,820,104
  4. Step 4: Simplify right side
    829,700x = 3,312,778,570,816
  5. Step 5: Solve for x
    x = 3,312,778,570,816/829,700
  6. Step 6: Final answer
    x = 3,992,742.64

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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.