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Finding the Third Proportional to 407,595 and 893,841

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Solution

The third proportional to 407,595 and 893,841 is: 1,960,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,595 : 893,841 = 893,841 : x
  2. Step 2: Convert to fraction form
    407,595/893,841 = 893,841/x
  3. Step 3: Cross multiply
    407,595x = 893,841 × 893,841
  4. Step 4: Simplify right side
    407,595x = 798,951,733,281
  5. Step 5: Solve for x
    x = 798,951,733,281/407,595
  6. Step 6: Final answer
    x = 1,960,160.78

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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.