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Finding the Third Proportional to 685,105 and 1,444,070

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Solution

The third proportional to 685,105 and 1,444,070 is: 3,043,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,105 : 1,444,070 = 1,444,070 : x
  2. Step 2: Convert to fraction form
    685,105/1,444,070 = 1,444,070/x
  3. Step 3: Cross multiply
    685,105x = 1,444,070 × 1,444,070
  4. Step 4: Simplify right side
    685,105x = 2,085,338,164,900
  5. Step 5: Solve for x
    x = 2,085,338,164,900/685,105
  6. Step 6: Final answer
    x = 3,043,822.72

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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.