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Finding the Third Proportional to 311,434,340 and 735,170,122

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Solution

The third proportional to 311,434,340 and 735,170,122 is: 1,735,438,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,434,340 : 735,170,122 = 735,170,122 : x
  2. Step 2: Convert to fraction form
    311,434,340/735,170,122 = 735,170,122/x
  3. Step 3: Cross multiply
    311,434,340x = 735,170,122 × 735,170,122
  4. Step 4: Simplify right side
    311,434,340x = 540,475,108,281,494,912
  5. Step 5: Solve for x
    x = 540,475,108,281,494,912/311,434,340
  6. Step 6: Final answer
    x = 1,735,438,385.77

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Why These Related Problems?

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