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Finding the Third Proportional to 531,821,254 and 816,942,561

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Solution

The third proportional to 531,821,254 and 816,942,561 is: 1,254,923,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,821,254 : 816,942,561 = 816,942,561 : x
  2. Step 2: Convert to fraction form
    531,821,254/816,942,561 = 816,942,561/x
  3. Step 3: Cross multiply
    531,821,254x = 816,942,561 × 816,942,561
  4. Step 4: Simplify right side
    531,821,254x = 667,395,147,973,238,784
  5. Step 5: Solve for x
    x = 667,395,147,973,238,784/531,821,254
  6. Step 6: Final answer
    x = 1,254,923,798.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.