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Finding the Third Proportional to 415,636.31 and 893,431.27

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Solution

The third proportional to 415,636.31 and 893,431.27 is: 1,920,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,636.31 : 893,431.27 = 893,431.27 : x
  2. Step 2: Convert to fraction form
    415,636.31/893,431.27 = 893,431.27/x
  3. Step 3: Cross multiply
    415,636.31x = 893,431.27 × 893,431.27
  4. Step 4: Simplify right side
    415,636.31x = 798,219,426,396.29
  5. Step 5: Solve for x
    x = 798,219,426,396.29/415,636.31
  6. Step 6: Final answer
    x = 1,920,475.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.