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Finding the Third Proportional to 597,288 and 1,299,532

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Solution

The third proportional to 597,288 and 1,299,532 is: 2,827,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,288 : 1,299,532 = 1,299,532 : x
  2. Step 2: Convert to fraction form
    597,288/1,299,532 = 1,299,532/x
  3. Step 3: Cross multiply
    597,288x = 1,299,532 × 1,299,532
  4. Step 4: Simplify right side
    597,288x = 1,688,783,419,024
  5. Step 5: Solve for x
    x = 1,688,783,419,024/597,288
  6. Step 6: Final answer
    x = 2,827,418.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.