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Finding the Third Proportional to 407,597 and 893,845

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Solution

The third proportional to 407,597 and 893,845 is: 1,960,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,597 : 893,845 = 893,845 : x
  2. Step 2: Convert to fraction form
    407,597/893,845 = 893,845/x
  3. Step 3: Cross multiply
    407,597x = 893,845 × 893,845
  4. Step 4: Simplify right side
    407,597x = 798,958,884,025
  5. Step 5: Solve for x
    x = 798,958,884,025/407,597
  6. Step 6: Final answer
    x = 1,960,168.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.