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Finding the Third Proportional to 510,336,540 and 1,113,040,539

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Solution

The third proportional to 510,336,540 and 1,113,040,539 is: 2,427,533,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,336,540 : 1,113,040,539 = 1,113,040,539 : x
  2. Step 2: Convert to fraction form
    510,336,540/1,113,040,539 = 1,113,040,539/x
  3. Step 3: Cross multiply
    510,336,540x = 1,113,040,539 × 1,113,040,539
  4. Step 4: Simplify right side
    510,336,540x = 1,238,859,241,457,410,560
  5. Step 5: Solve for x
    x = 1,238,859,241,457,410,560/510,336,540
  6. Step 6: Final answer
    x = 2,427,533,880.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.