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Finding the Third Proportional to 1,244,427 and 2,659,440

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Solution

The third proportional to 1,244,427 and 2,659,440 is: 5,683,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,427 : 2,659,440 = 2,659,440 : x
  2. Step 2: Convert to fraction form
    1,244,427/2,659,440 = 2,659,440/x
  3. Step 3: Cross multiply
    1,244,427x = 2,659,440 × 2,659,440
  4. Step 4: Simplify right side
    1,244,427x = 7,072,621,113,600
  5. Step 5: Solve for x
    x = 7,072,621,113,600/1,244,427
  6. Step 6: Final answer
    x = 5,683,435.92

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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.