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Finding the Third Proportional to 414,288 and 891,996

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Solution

The third proportional to 414,288 and 891,996 is: 1,920,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,288 : 891,996 = 891,996 : x
  2. Step 2: Convert to fraction form
    414,288/891,996 = 891,996/x
  3. Step 3: Cross multiply
    414,288x = 891,996 × 891,996
  4. Step 4: Simplify right side
    414,288x = 795,656,864,016
  5. Step 5: Solve for x
    x = 795,656,864,016/414,288
  6. Step 6: Final answer
    x = 1,920,540.45

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Why These Related Problems?

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