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Finding the Third Proportional to 1,009,138 and 1,681,831

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Solution

The third proportional to 1,009,138 and 1,681,831 is: 2,802,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,138 : 1,681,831 = 1,681,831 : x
  2. Step 2: Convert to fraction form
    1,009,138/1,681,831 = 1,681,831/x
  3. Step 3: Cross multiply
    1,009,138x = 1,681,831 × 1,681,831
  4. Step 4: Simplify right side
    1,009,138x = 2,828,555,512,561
  5. Step 5: Solve for x
    x = 2,828,555,512,561/1,009,138
  6. Step 6: Final answer
    x = 2,802,942.23

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.