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Finding the Third Proportional to 341,555,706 and 734,985,108

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Solution

The third proportional to 341,555,706 and 734,985,108 is: 1,581,595,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,555,706 : 734,985,108 = 734,985,108 : x
  2. Step 2: Convert to fraction form
    341,555,706/734,985,108 = 734,985,108/x
  3. Step 3: Cross multiply
    341,555,706x = 734,985,108 × 734,985,108
  4. Step 4: Simplify right side
    341,555,706x = 540,203,108,981,771,648
  5. Step 5: Solve for x
    x = 540,203,108,981,771,648/341,555,706
  6. Step 6: Final answer
    x = 1,581,595,913.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.