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Finding the Third Proportional to 458,165 and 947,758

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Solution

The third proportional to 458,165 and 947,758 is: 1,960,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,165 : 947,758 = 947,758 : x
  2. Step 2: Convert to fraction form
    458,165/947,758 = 947,758/x
  3. Step 3: Cross multiply
    458,165x = 947,758 × 947,758
  4. Step 4: Simplify right side
    458,165x = 898,245,226,564
  5. Step 5: Solve for x
    x = 898,245,226,564/458,165
  6. Step 6: Final answer
    x = 1,960,527.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.