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Finding the Third Proportional to 853,064 and 1,824,208

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Solution

The third proportional to 853,064 and 1,824,208 is: 3,900,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,064 : 1,824,208 = 1,824,208 : x
  2. Step 2: Convert to fraction form
    853,064/1,824,208 = 1,824,208/x
  3. Step 3: Cross multiply
    853,064x = 1,824,208 × 1,824,208
  4. Step 4: Simplify right side
    853,064x = 3,327,734,827,264
  5. Step 5: Solve for x
    x = 3,327,734,827,264/853,064
  6. Step 6: Final answer
    x = 3,900,920.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.