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Finding the Third Proportional to 618,146 and 1,325,008

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Solution

The third proportional to 618,146 and 1,325,008 is: 2,840,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,146 : 1,325,008 = 1,325,008 : x
  2. Step 2: Convert to fraction form
    618,146/1,325,008 = 1,325,008/x
  3. Step 3: Cross multiply
    618,146x = 1,325,008 × 1,325,008
  4. Step 4: Simplify right side
    618,146x = 1,755,646,200,064
  5. Step 5: Solve for x
    x = 1,755,646,200,064/618,146
  6. Step 6: Final answer
    x = 2,840,180.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.