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Finding the Third Proportional to 407,570 and 893,874

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Solution

The third proportional to 407,570 and 893,874 is: 1,960,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,570 : 893,874 = 893,874 : x
  2. Step 2: Convert to fraction form
    407,570/893,874 = 893,874/x
  3. Step 3: Cross multiply
    407,570x = 893,874 × 893,874
  4. Step 4: Simplify right side
    407,570x = 799,010,727,876
  5. Step 5: Solve for x
    x = 799,010,727,876/407,570
  6. Step 6: Final answer
    x = 1,960,425.76

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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.