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Finding the Third Proportional to 1,095,823.69 and 1,954,995.75

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Solution

The third proportional to 1,095,823.69 and 1,954,995.75 is: 3,487,795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,823.69 : 1,954,995.75 = 1,954,995.75 : x
  2. Step 2: Convert to fraction form
    1,095,823.69/1,954,995.75 = 1,954,995.75/x
  3. Step 3: Cross multiply
    1,095,823.69x = 1,954,995.75 × 1,954,995.75
  4. Step 4: Simplify right side
    1,095,823.69x = 3,822,008,382,518.06
  5. Step 5: Solve for x
    x = 3,822,008,382,518.06/1,095,823.69
  6. Step 6: Final answer
    x = 3,487,795.00

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.