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Finding the Third Proportional to 458,169 and 947,766

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Solution

The third proportional to 458,169 and 947,766 is: 1,960,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,169 : 947,766 = 947,766 : x
  2. Step 2: Convert to fraction form
    458,169/947,766 = 947,766/x
  3. Step 3: Cross multiply
    458,169x = 947,766 × 947,766
  4. Step 4: Simplify right side
    458,169x = 898,260,390,756
  5. Step 5: Solve for x
    x = 898,260,390,756/458,169
  6. Step 6: Final answer
    x = 1,960,543.80

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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.