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Finding the Third Proportional to 452,491 and 893,558

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Solution

The third proportional to 452,491 and 893,558 is: 1,764,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,491 : 893,558 = 893,558 : x
  2. Step 2: Convert to fraction form
    452,491/893,558 = 893,558/x
  3. Step 3: Cross multiply
    452,491x = 893,558 × 893,558
  4. Step 4: Simplify right side
    452,491x = 798,445,899,364
  5. Step 5: Solve for x
    x = 798,445,899,364/452,491
  6. Step 6: Final answer
    x = 1,764,556.42

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.