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Finding the Third Proportional to 853,012 and 1,810,984

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Solution

The third proportional to 853,012 and 1,810,984 is: 3,844,802.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,012 : 1,810,984 = 1,810,984 : x
  2. Step 2: Convert to fraction form
    853,012/1,810,984 = 1,810,984/x
  3. Step 3: Cross multiply
    853,012x = 1,810,984 × 1,810,984
  4. Step 4: Simplify right side
    853,012x = 3,279,663,048,256
  5. Step 5: Solve for x
    x = 3,279,663,048,256/853,012
  6. Step 6: Final answer
    x = 3,844,802.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.