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Finding the Third Proportional to 911,143.69 and 1,968,409.69

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Solution

The third proportional to 911,143.69 and 1,968,409.69 is: 4,252,497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,143.69 : 1,968,409.69 = 1,968,409.69 : x
  2. Step 2: Convert to fraction form
    911,143.69/1,968,409.69 = 1,968,409.69/x
  3. Step 3: Cross multiply
    911,143.69x = 1,968,409.69 × 1,968,409.69
  4. Step 4: Simplify right side
    911,143.69x = 3,874,636,697,843.85
  5. Step 5: Solve for x
    x = 3,874,636,697,843.85/911,143.69
  6. Step 6: Final answer
    x = 4,252,497.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.