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Finding the Third Proportional to 384,940,530 and 829,973,988

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Solution

The third proportional to 384,940,530 and 829,973,988 is: 1,789,514,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,940,530 : 829,973,988 = 829,973,988 : x
  2. Step 2: Convert to fraction form
    384,940,530/829,973,988 = 829,973,988/x
  3. Step 3: Cross multiply
    384,940,530x = 829,973,988 × 829,973,988
  4. Step 4: Simplify right side
    384,940,530x = 688,856,820,756,624,128
  5. Step 5: Solve for x
    x = 688,856,820,756,624,128/384,940,530
  6. Step 6: Final answer
    x = 1,789,514,917.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.