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Finding the Third Proportional to 1,266,966 and 2,731,968

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Solution

The third proportional to 1,266,966 and 2,731,968 is: 5,890,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,966 : 2,731,968 = 2,731,968 : x
  2. Step 2: Convert to fraction form
    1,266,966/2,731,968 = 2,731,968/x
  3. Step 3: Cross multiply
    1,266,966x = 2,731,968 × 2,731,968
  4. Step 4: Simplify right side
    1,266,966x = 7,463,649,153,024
  5. Step 5: Solve for x
    x = 7,463,649,153,024/1,266,966
  6. Step 6: Final answer
    x = 5,890,962.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.