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Finding the Third Proportional to 1,266,099 and 2,928,504

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Solution

The third proportional to 1,266,099 and 2,928,504 is: 6,773,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,099 : 2,928,504 = 2,928,504 : x
  2. Step 2: Convert to fraction form
    1,266,099/2,928,504 = 2,928,504/x
  3. Step 3: Cross multiply
    1,266,099x = 2,928,504 × 2,928,504
  4. Step 4: Simplify right side
    1,266,099x = 8,576,135,678,016
  5. Step 5: Solve for x
    x = 8,576,135,678,016/1,266,099
  6. Step 6: Final answer
    x = 6,773,669.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.