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Finding the Third Proportional to 571,912,172 and 857,099,892

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Solution

The third proportional to 571,912,172 and 857,099,892 is: 1,284,498,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,912,172 : 857,099,892 = 857,099,892 : x
  2. Step 2: Convert to fraction form
    571,912,172/857,099,892 = 857,099,892/x
  3. Step 3: Cross multiply
    571,912,172x = 857,099,892 × 857,099,892
  4. Step 4: Simplify right side
    571,912,172x = 734,620,224,866,411,648
  5. Step 5: Solve for x
    x = 734,620,224,866,411,648/571,912,172
  6. Step 6: Final answer
    x = 1,284,498,321.30

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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.