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Finding the Third Proportional to 1,181,680 and 1,833,216

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Solution

The third proportional to 1,181,680 and 1,833,216 is: 2,843,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,680 : 1,833,216 = 1,833,216 : x
  2. Step 2: Convert to fraction form
    1,181,680/1,833,216 = 1,833,216/x
  3. Step 3: Cross multiply
    1,181,680x = 1,833,216 × 1,833,216
  4. Step 4: Simplify right side
    1,181,680x = 3,360,680,902,656
  5. Step 5: Solve for x
    x = 3,360,680,902,656/1,181,680
  6. Step 6: Final answer
    x = 2,843,985.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.