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Finding the Third Proportional to 685,106 and 1,444,072

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Solution

The third proportional to 685,106 and 1,444,072 is: 3,043,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,106 : 1,444,072 = 1,444,072 : x
  2. Step 2: Convert to fraction form
    685,106/1,444,072 = 1,444,072/x
  3. Step 3: Cross multiply
    685,106x = 1,444,072 × 1,444,072
  4. Step 4: Simplify right side
    685,106x = 2,085,343,941,184
  5. Step 5: Solve for x
    x = 2,085,343,941,184/685,106
  6. Step 6: Final answer
    x = 3,043,826.71

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.