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Finding the Third Proportional to 1,094,169 and 1,758,016.50

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Solution

The third proportional to 1,094,169 and 1,758,016.50 is: 2,824,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094,169 : 1,758,016.50 = 1,758,016.50 : x
  2. Step 2: Convert to fraction form
    1,094,169/1,758,016.50 = 1,758,016.50/x
  3. Step 3: Cross multiply
    1,094,169x = 1,758,016.50 × 1,758,016.50
  4. Step 4: Simplify right side
    1,094,169x = 3,090,622,014,272.25
  5. Step 5: Solve for x
    x = 3,090,622,014,272.25/1,094,169
  6. Step 6: Final answer
    x = 2,824,629.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.