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Finding the Third Proportional to 618,460,922 and 1,325,452,657

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Solution

The third proportional to 618,460,922 and 1,325,452,657 is: 2,840,639,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,460,922 : 1,325,452,657 = 1,325,452,657 : x
  2. Step 2: Convert to fraction form
    618,460,922/1,325,452,657 = 1,325,452,657/x
  3. Step 3: Cross multiply
    618,460,922x = 1,325,452,657 × 1,325,452,657
  4. Step 4: Simplify right side
    618,460,922x = 1,756,824,745,948,359,680
  5. Step 5: Solve for x
    x = 1,756,824,745,948,359,680/618,460,922
  6. Step 6: Final answer
    x = 2,840,639,858.48

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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.