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Finding the Third Proportional to 897,858 and 1,995,016

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Solution

The third proportional to 897,858 and 1,995,016 is: 4,432,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,858 : 1,995,016 = 1,995,016 : x
  2. Step 2: Convert to fraction form
    897,858/1,995,016 = 1,995,016/x
  3. Step 3: Cross multiply
    897,858x = 1,995,016 × 1,995,016
  4. Step 4: Simplify right side
    897,858x = 3,980,088,840,256
  5. Step 5: Solve for x
    x = 3,980,088,840,256/897,858
  6. Step 6: Final answer
    x = 4,432,871.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.