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Finding the Third Proportional to 458,164 and 947,756

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Solution

The third proportional to 458,164 and 947,756 is: 1,960,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,164 : 947,756 = 947,756 : x
  2. Step 2: Convert to fraction form
    458,164/947,756 = 947,756/x
  3. Step 3: Cross multiply
    458,164x = 947,756 × 947,756
  4. Step 4: Simplify right side
    458,164x = 898,241,435,536
  5. Step 5: Solve for x
    x = 898,241,435,536/458,164
  6. Step 6: Final answer
    x = 1,960,523.82

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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.