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Finding the Third Proportional to 829,692 and 1,820,088

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Solution

The third proportional to 829,692 and 1,820,088 is: 3,992,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,692 : 1,820,088 = 1,820,088 : x
  2. Step 2: Convert to fraction form
    829,692/1,820,088 = 1,820,088/x
  3. Step 3: Cross multiply
    829,692x = 1,820,088 × 1,820,088
  4. Step 4: Simplify right side
    829,692x = 3,312,720,327,744
  5. Step 5: Solve for x
    x = 3,312,720,327,744/829,692
  6. Step 6: Final answer
    x = 3,992,710.94

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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.