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Finding the Third Proportional to 452,482 and 893,542

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Solution

The third proportional to 452,482 and 893,542 is: 1,764,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,482 : 893,542 = 893,542 : x
  2. Step 2: Convert to fraction form
    452,482/893,542 = 893,542/x
  3. Step 3: Cross multiply
    452,482x = 893,542 × 893,542
  4. Step 4: Simplify right side
    452,482x = 798,417,305,764
  5. Step 5: Solve for x
    x = 798,417,305,764/452,482
  6. Step 6: Final answer
    x = 1,764,528.33

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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.