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Finding the Third Proportional to 571,912,164 and 857,099,880

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Solution

The third proportional to 571,912,164 and 857,099,880 is: 1,284,498,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,912,164 : 857,099,880 = 857,099,880 : x
  2. Step 2: Convert to fraction form
    571,912,164/857,099,880 = 857,099,880/x
  3. Step 3: Cross multiply
    571,912,164x = 857,099,880 × 857,099,880
  4. Step 4: Simplify right side
    571,912,164x = 734,620,204,296,014,336
  5. Step 5: Solve for x
    x = 734,620,204,296,014,336/571,912,164
  6. Step 6: Final answer
    x = 1,284,498,303.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.