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Finding the Third Proportional to 534,296,832 and 817,335,576

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Solution

The third proportional to 534,296,832 and 817,335,576 is: 1,250,311,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,296,832 : 817,335,576 = 817,335,576 : x
  2. Step 2: Convert to fraction form
    534,296,832/817,335,576 = 817,335,576/x
  3. Step 3: Cross multiply
    534,296,832x = 817,335,576 × 817,335,576
  4. Step 4: Simplify right side
    534,296,832x = 668,037,443,795,251,712
  5. Step 5: Solve for x
    x = 668,037,443,795,251,712/534,296,832
  6. Step 6: Final answer
    x = 1,250,311,444.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.