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Finding the Third Proportional to 897,856 and 1,995,012

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Solution

The third proportional to 897,856 and 1,995,012 is: 4,432,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,856 : 1,995,012 = 1,995,012 : x
  2. Step 2: Convert to fraction form
    897,856/1,995,012 = 1,995,012/x
  3. Step 3: Cross multiply
    897,856x = 1,995,012 × 1,995,012
  4. Step 4: Simplify right side
    897,856x = 3,980,072,880,144
  5. Step 5: Solve for x
    x = 3,980,072,880,144/897,856
  6. Step 6: Final answer
    x = 4,432,863.27

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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.