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Finding the Third Proportional to 1,570,257 and 3,450,175

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Solution

The third proportional to 1,570,257 and 3,450,175 is: 7,580,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,257 : 3,450,175 = 3,450,175 : x
  2. Step 2: Convert to fraction form
    1,570,257/3,450,175 = 3,450,175/x
  3. Step 3: Cross multiply
    1,570,257x = 3,450,175 × 3,450,175
  4. Step 4: Simplify right side
    1,570,257x = 11,903,707,530,625
  5. Step 5: Solve for x
    x = 11,903,707,530,625/1,570,257
  6. Step 6: Final answer
    x = 7,580,738.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.