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Finding the Third Proportional to 452,494 and 893,566

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Solution

The third proportional to 452,494 and 893,566 is: 1,764,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,494 : 893,566 = 893,566 : x
  2. Step 2: Convert to fraction form
    452,494/893,566 = 893,566/x
  3. Step 3: Cross multiply
    452,494x = 893,566 × 893,566
  4. Step 4: Simplify right side
    452,494x = 798,460,196,356
  5. Step 5: Solve for x
    x = 798,460,196,356/452,494
  6. Step 6: Final answer
    x = 1,764,576.32

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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.