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Finding the Third Proportional to 428,678 and 931,156

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Solution

The third proportional to 428,678 and 931,156 is: 2,022,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,678 : 931,156 = 931,156 : x
  2. Step 2: Convert to fraction form
    428,678/931,156 = 931,156/x
  3. Step 3: Cross multiply
    428,678x = 931,156 × 931,156
  4. Step 4: Simplify right side
    428,678x = 867,051,496,336
  5. Step 5: Solve for x
    x = 867,051,496,336/428,678
  6. Step 6: Final answer
    x = 2,022,617.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.