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Finding the Third Proportional to 1,214,966 and 2,602,847

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Solution

The third proportional to 1,214,966 and 2,602,847 is: 5,576,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,966 : 2,602,847 = 2,602,847 : x
  2. Step 2: Convert to fraction form
    1,214,966/2,602,847 = 2,602,847/x
  3. Step 3: Cross multiply
    1,214,966x = 2,602,847 × 2,602,847
  4. Step 4: Simplify right side
    1,214,966x = 6,774,812,505,409
  5. Step 5: Solve for x
    x = 6,774,812,505,409/1,214,966
  6. Step 6: Final answer
    x = 5,576,133.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.