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Finding the Third Proportional to 1,686,729 and 2,682,601.50

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Solution

The third proportional to 1,686,729 and 2,682,601.50 is: 4,266,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,729 : 2,682,601.50 = 2,682,601.50 : x
  2. Step 2: Convert to fraction form
    1,686,729/2,682,601.50 = 2,682,601.50/x
  3. Step 3: Cross multiply
    1,686,729x = 2,682,601.50 × 2,682,601.50
  4. Step 4: Simplify right side
    1,686,729x = 7,196,350,807,802.25
  5. Step 5: Solve for x
    x = 7,196,350,807,802.25/1,686,729
  6. Step 6: Final answer
    x = 4,266,453.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.