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Finding the Third Proportional to 1,196,641,928 and 1,788,367,548

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Solution

The third proportional to 1,196,641,928 and 1,788,367,548 is: 2,672,694,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,641,928 : 1,788,367,548 = 1,788,367,548 : x
  2. Step 2: Convert to fraction form
    1,196,641,928/1,788,367,548 = 1,788,367,548/x
  3. Step 3: Cross multiply
    1,196,641,928x = 1,788,367,548 × 1,788,367,548
  4. Step 4: Simplify right side
    1,196,641,928x = 3,198,258,486,739,532,288
  5. Step 5: Solve for x
    x = 3,198,258,486,739,532,288/1,196,641,928
  6. Step 6: Final answer
    x = 2,672,694,656.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.