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Finding the Third Proportional to 1,291,644 and 1,991,968

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Solution

The third proportional to 1,291,644 and 1,991,968 is: 3,072,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,644 : 1,991,968 = 1,991,968 : x
  2. Step 2: Convert to fraction form
    1,291,644/1,991,968 = 1,991,968/x
  3. Step 3: Cross multiply
    1,291,644x = 1,991,968 × 1,991,968
  4. Step 4: Simplify right side
    1,291,644x = 3,967,936,513,024
  5. Step 5: Solve for x
    x = 3,967,936,513,024/1,291,644
  6. Step 6: Final answer
    x = 3,072,004.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.