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Finding the Third Proportional to 853,240 and 1,843,312

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Solution

The third proportional to 853,240 and 1,843,312 is: 3,982,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,240 : 1,843,312 = 1,843,312 : x
  2. Step 2: Convert to fraction form
    853,240/1,843,312 = 1,843,312/x
  3. Step 3: Cross multiply
    853,240x = 1,843,312 × 1,843,312
  4. Step 4: Simplify right side
    853,240x = 3,397,799,129,344
  5. Step 5: Solve for x
    x = 3,397,799,129,344/853,240
  6. Step 6: Final answer
    x = 3,982,231.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.