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Finding the Third Proportional to 618,460,923 and 1,325,452,659

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Solution

The third proportional to 618,460,923 and 1,325,452,659 is: 2,840,639,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,460,923 : 1,325,452,659 = 1,325,452,659 : x
  2. Step 2: Convert to fraction form
    618,460,923/1,325,452,659 = 1,325,452,659/x
  3. Step 3: Cross multiply
    618,460,923x = 1,325,452,659 × 1,325,452,659
  4. Step 4: Simplify right side
    618,460,923x = 1,756,824,751,250,170,368
  5. Step 5: Solve for x
    x = 1,756,824,751,250,170,368/618,460,923
  6. Step 6: Final answer
    x = 2,840,639,862.46

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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.