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Finding the Third Proportional to 452,538 and 893,654

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Solution

The third proportional to 452,538 and 893,654 is: 1,764,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,538 : 893,654 = 893,654 : x
  2. Step 2: Convert to fraction form
    452,538/893,654 = 893,654/x
  3. Step 3: Cross multiply
    452,538x = 893,654 × 893,654
  4. Step 4: Simplify right side
    452,538x = 798,617,471,716
  5. Step 5: Solve for x
    x = 798,617,471,716/452,538
  6. Step 6: Final answer
    x = 1,764,752.29

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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.