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Finding the Third Proportional to 585,175 and 1,257,647

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Solution

The third proportional to 585,175 and 1,257,647 is: 2,702,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,175 : 1,257,647 = 1,257,647 : x
  2. Step 2: Convert to fraction form
    585,175/1,257,647 = 1,257,647/x
  3. Step 3: Cross multiply
    585,175x = 1,257,647 × 1,257,647
  4. Step 4: Simplify right side
    585,175x = 1,581,675,976,609
  5. Step 5: Solve for x
    x = 1,581,675,976,609/585,175
  6. Step 6: Final answer
    x = 2,702,911.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.