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Finding the Third Proportional to 2,566,134 and 3,972,969

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Solution

The third proportional to 2,566,134 and 3,972,969 is: 6,151,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566,134 : 3,972,969 = 3,972,969 : x
  2. Step 2: Convert to fraction form
    2,566,134/3,972,969 = 3,972,969/x
  3. Step 3: Cross multiply
    2,566,134x = 3,972,969 × 3,972,969
  4. Step 4: Simplify right side
    2,566,134x = 15,784,482,674,961
  5. Step 5: Solve for x
    x = 15,784,482,674,961/2,566,134
  6. Step 6: Final answer
    x = 6,151,074.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.