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Finding the Third Proportional to 598,696 and 947,838

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Solution

The third proportional to 598,696 and 947,838 is: 1,500,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,696 : 947,838 = 947,838 : x
  2. Step 2: Convert to fraction form
    598,696/947,838 = 947,838/x
  3. Step 3: Cross multiply
    598,696x = 947,838 × 947,838
  4. Step 4: Simplify right side
    598,696x = 898,396,874,244
  5. Step 5: Solve for x
    x = 898,396,874,244/598,696
  6. Step 6: Final answer
    x = 1,500,589.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.