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Finding the Third Proportional to 618,460,926 and 1,325,452,666

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Solution

The third proportional to 618,460,926 and 1,325,452,666 is: 2,840,639,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,460,926 : 1,325,452,666 = 1,325,452,666 : x
  2. Step 2: Convert to fraction form
    618,460,926/1,325,452,666 = 1,325,452,666/x
  3. Step 3: Cross multiply
    618,460,926x = 1,325,452,666 × 1,325,452,666
  4. Step 4: Simplify right side
    618,460,926x = 1,756,824,769,806,507,520
  5. Step 5: Solve for x
    x = 1,756,824,769,806,507,520/618,460,926
  6. Step 6: Final answer
    x = 2,840,639,878.69

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