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Finding the Third Proportional to 405,076 and 893,096

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Solution

The third proportional to 405,076 and 893,096 is: 1,969,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,076 : 893,096 = 893,096 : x
  2. Step 2: Convert to fraction form
    405,076/893,096 = 893,096/x
  3. Step 3: Cross multiply
    405,076x = 893,096 × 893,096
  4. Step 4: Simplify right side
    405,076x = 797,620,465,216
  5. Step 5: Solve for x
    x = 797,620,465,216/405,076
  6. Step 6: Final answer
    x = 1,969,063.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.