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Finding the Third Proportional to 671,066 and 1,419,862

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Solution

The third proportional to 671,066 and 1,419,862 is: 3,004,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,066 : 1,419,862 = 1,419,862 : x
  2. Step 2: Convert to fraction form
    671,066/1,419,862 = 1,419,862/x
  3. Step 3: Cross multiply
    671,066x = 1,419,862 × 1,419,862
  4. Step 4: Simplify right side
    671,066x = 2,016,008,099,044
  5. Step 5: Solve for x
    x = 2,016,008,099,044/671,066
  6. Step 6: Final answer
    x = 3,004,187.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.