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Finding the Third Proportional to 311,434,128 and 735,169,488

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Solution

The third proportional to 311,434,128 and 735,169,488 is: 1,735,436,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,434,128 : 735,169,488 = 735,169,488 : x
  2. Step 2: Convert to fraction form
    311,434,128/735,169,488 = 735,169,488/x
  3. Step 3: Cross multiply
    311,434,128x = 735,169,488 × 735,169,488
  4. Step 4: Simplify right side
    311,434,128x = 540,474,176,086,182,144
  5. Step 5: Solve for x
    x = 540,474,176,086,182,144/311,434,128
  6. Step 6: Final answer
    x = 1,735,436,573.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.