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Finding the Third Proportional to 1,157,170 and 2,370,716

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Solution

The third proportional to 1,157,170 and 2,370,716 is: 4,856,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,170 : 2,370,716 = 2,370,716 : x
  2. Step 2: Convert to fraction form
    1,157,170/2,370,716 = 2,370,716/x
  3. Step 3: Cross multiply
    1,157,170x = 2,370,716 × 2,370,716
  4. Step 4: Simplify right side
    1,157,170x = 5,620,294,352,656
  5. Step 5: Solve for x
    x = 5,620,294,352,656/1,157,170
  6. Step 6: Final answer
    x = 4,856,930.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.