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Finding the Third Proportional to 1,009,147 and 1,681,851

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Solution

The third proportional to 1,009,147 and 1,681,851 is: 2,802,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,147 : 1,681,851 = 1,681,851 : x
  2. Step 2: Convert to fraction form
    1,009,147/1,681,851 = 1,681,851/x
  3. Step 3: Cross multiply
    1,009,147x = 1,681,851 × 1,681,851
  4. Step 4: Simplify right side
    1,009,147x = 2,828,622,786,201
  5. Step 5: Solve for x
    x = 2,828,622,786,201/1,009,147
  6. Step 6: Final answer
    x = 2,802,983.89

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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.