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Finding the Third Proportional to 853,504 and 1,860,608

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Solution

The third proportional to 853,504 and 1,860,608 is: 4,056,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,504 : 1,860,608 = 1,860,608 : x
  2. Step 2: Convert to fraction form
    853,504/1,860,608 = 1,860,608/x
  3. Step 3: Cross multiply
    853,504x = 1,860,608 × 1,860,608
  4. Step 4: Simplify right side
    853,504x = 3,461,862,129,664
  5. Step 5: Solve for x
    x = 3,461,862,129,664/853,504
  6. Step 6: Final answer
    x = 4,056,058.47

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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.