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Finding the Third Proportional to 597,073 and 893,419

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Solution

The third proportional to 597,073 and 893,419 is: 1,336,850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,073 : 893,419 = 893,419 : x
  2. Step 2: Convert to fraction form
    597,073/893,419 = 893,419/x
  3. Step 3: Cross multiply
    597,073x = 893,419 × 893,419
  4. Step 4: Simplify right side
    597,073x = 798,197,509,561
  5. Step 5: Solve for x
    x = 798,197,509,561/597,073
  6. Step 6: Final answer
    x = 1,336,850.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.