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Finding the Third Proportional to 473,841 and 1,118,577

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Solution

The third proportional to 473,841 and 1,118,577 is: 2,640,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,841 : 1,118,577 = 1,118,577 : x
  2. Step 2: Convert to fraction form
    473,841/1,118,577 = 1,118,577/x
  3. Step 3: Cross multiply
    473,841x = 1,118,577 × 1,118,577
  4. Step 4: Simplify right side
    473,841x = 1,251,214,504,929
  5. Step 5: Solve for x
    x = 1,251,214,504,929/473,841
  6. Step 6: Final answer
    x = 2,640,578.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.