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Finding the Third Proportional to 2,130,686 and 4,577,595

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Solution

The third proportional to 2,130,686 and 4,577,595 is: 9,834,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,686 : 4,577,595 = 4,577,595 : x
  2. Step 2: Convert to fraction form
    2,130,686/4,577,595 = 4,577,595/x
  3. Step 3: Cross multiply
    2,130,686x = 4,577,595 × 4,577,595
  4. Step 4: Simplify right side
    2,130,686x = 20,954,375,984,025
  5. Step 5: Solve for x
    x = 20,954,375,984,025/2,130,686
  6. Step 6: Final answer
    x = 9,834,567.83

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