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Finding the Third Proportional to 2,170,768 and 3,191,120

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Solution

The third proportional to 2,170,768 and 3,191,120 is: 4,691,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,768 : 3,191,120 = 3,191,120 : x
  2. Step 2: Convert to fraction form
    2,170,768/3,191,120 = 3,191,120/x
  3. Step 3: Cross multiply
    2,170,768x = 3,191,120 × 3,191,120
  4. Step 4: Simplify right side
    2,170,768x = 10,183,246,854,400
  5. Step 5: Solve for x
    x = 10,183,246,854,400/2,170,768
  6. Step 6: Final answer
    x = 4,691,080.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.