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Finding the Third Proportional to 428,935 and 847,105

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Solution

The third proportional to 428,935 and 847,105 is: 1,672,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,935 : 847,105 = 847,105 : x
  2. Step 2: Convert to fraction form
    428,935/847,105 = 847,105/x
  3. Step 3: Cross multiply
    428,935x = 847,105 × 847,105
  4. Step 4: Simplify right side
    428,935x = 717,586,881,025
  5. Step 5: Solve for x
    x = 717,586,881,025/428,935
  6. Step 6: Final answer
    x = 1,672,950.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.