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Finding the Third Proportional to 417,418.31 and 893,865.38

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Solution

The third proportional to 417,418.31 and 893,865.38 is: 1,914,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,418.31 : 893,865.38 = 893,865.38 : x
  2. Step 2: Convert to fraction form
    417,418.31/893,865.38 = 893,865.38/x
  3. Step 3: Cross multiply
    417,418.31x = 893,865.38 × 893,865.38
  4. Step 4: Simplify right side
    417,418.31x = 798,995,308,623.89
  5. Step 5: Solve for x
    x = 798,995,308,623.89/417,418.31
  6. Step 6: Final answer
    x = 1,914,135.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.