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Finding the Third Proportional to 677,880 and 1,473,804

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Solution

The third proportional to 677,880 and 1,473,804 is: 3,204,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,880 : 1,473,804 = 1,473,804 : x
  2. Step 2: Convert to fraction form
    677,880/1,473,804 = 1,473,804/x
  3. Step 3: Cross multiply
    677,880x = 1,473,804 × 1,473,804
  4. Step 4: Simplify right side
    677,880x = 2,172,098,230,416
  5. Step 5: Solve for x
    x = 2,172,098,230,416/677,880
  6. Step 6: Final answer
    x = 3,204,251.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.