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Finding the Third Proportional to 923,748 and 1,985,016

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Solution

The third proportional to 923,748 and 1,985,016 is: 4,265,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,748 : 1,985,016 = 1,985,016 : x
  2. Step 2: Convert to fraction form
    923,748/1,985,016 = 1,985,016/x
  3. Step 3: Cross multiply
    923,748x = 1,985,016 × 1,985,016
  4. Step 4: Simplify right side
    923,748x = 3,940,288,520,256
  5. Step 5: Solve for x
    x = 3,940,288,520,256/923,748
  6. Step 6: Final answer
    x = 4,265,544.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.