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Finding the Third Proportional to 1,540,329 and 3,434,829

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Solution

The third proportional to 1,540,329 and 3,434,829 is: 7,659,435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,329 : 3,434,829 = 3,434,829 : x
  2. Step 2: Convert to fraction form
    1,540,329/3,434,829 = 3,434,829/x
  3. Step 3: Cross multiply
    1,540,329x = 3,434,829 × 3,434,829
  4. Step 4: Simplify right side
    1,540,329x = 11,798,050,259,241
  5. Step 5: Solve for x
    x = 11,798,050,259,241/1,540,329
  6. Step 6: Final answer
    x = 7,659,435.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.