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Finding the Third Proportional to 1,184,884 and 1,693,200

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Solution

The third proportional to 1,184,884 and 1,693,200 is: 2,419,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,884 : 1,693,200 = 1,693,200 : x
  2. Step 2: Convert to fraction form
    1,184,884/1,693,200 = 1,693,200/x
  3. Step 3: Cross multiply
    1,184,884x = 1,693,200 × 1,693,200
  4. Step 4: Simplify right side
    1,184,884x = 2,866,926,240,000
  5. Step 5: Solve for x
    x = 2,866,926,240,000/1,184,884
  6. Step 6: Final answer
    x = 2,419,583.89

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.