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Finding the Third Proportional to 516,966 and 1,116,954

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Solution

The third proportional to 516,966 and 1,116,954 is: 2,413,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,966 : 1,116,954 = 1,116,954 : x
  2. Step 2: Convert to fraction form
    516,966/1,116,954 = 1,116,954/x
  3. Step 3: Cross multiply
    516,966x = 1,116,954 × 1,116,954
  4. Step 4: Simplify right side
    516,966x = 1,247,586,238,116
  5. Step 5: Solve for x
    x = 1,247,586,238,116/516,966
  6. Step 6: Final answer
    x = 2,413,284.89

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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.