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Finding the Third Proportional to 897,847 and 1,211,358

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Solution

The third proportional to 897,847 and 1,211,358 is: 1,634,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,847 : 1,211,358 = 1,211,358 : x
  2. Step 2: Convert to fraction form
    897,847/1,211,358 = 1,211,358/x
  3. Step 3: Cross multiply
    897,847x = 1,211,358 × 1,211,358
  4. Step 4: Simplify right side
    897,847x = 1,467,388,204,164
  5. Step 5: Solve for x
    x = 1,467,388,204,164/897,847
  6. Step 6: Final answer
    x = 1,634,341.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.