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Finding the Third Proportional to 556,900 and 1,213,794

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Solution

The third proportional to 556,900 and 1,213,794 is: 2,645,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,900 : 1,213,794 = 1,213,794 : x
  2. Step 2: Convert to fraction form
    556,900/1,213,794 = 1,213,794/x
  3. Step 3: Cross multiply
    556,900x = 1,213,794 × 1,213,794
  4. Step 4: Simplify right side
    556,900x = 1,473,295,874,436
  5. Step 5: Solve for x
    x = 1,473,295,874,436/556,900
  6. Step 6: Final answer
    x = 2,645,530.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.