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Finding the Third Proportional to 1,101,120 and 1,609,184

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Solution

The third proportional to 1,101,120 and 1,609,184 is: 2,351,672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,120 : 1,609,184 = 1,609,184 : x
  2. Step 2: Convert to fraction form
    1,101,120/1,609,184 = 1,609,184/x
  3. Step 3: Cross multiply
    1,101,120x = 1,609,184 × 1,609,184
  4. Step 4: Simplify right side
    1,101,120x = 2,589,473,145,856
  5. Step 5: Solve for x
    x = 2,589,473,145,856/1,101,120
  6. Step 6: Final answer
    x = 2,351,672.07

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.