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Finding the Third Proportional to 597,962 and 1,273,444

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Solution

The third proportional to 597,962 and 1,273,444 is: 2,711,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,962 : 1,273,444 = 1,273,444 : x
  2. Step 2: Convert to fraction form
    597,962/1,273,444 = 1,273,444/x
  3. Step 3: Cross multiply
    597,962x = 1,273,444 × 1,273,444
  4. Step 4: Simplify right side
    597,962x = 1,621,659,621,136
  5. Step 5: Solve for x
    x = 1,621,659,621,136/597,962
  6. Step 6: Final answer
    x = 2,711,977.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.