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Finding the Third Proportional to 936,830.50 and 1,947,258.67

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Solution

The third proportional to 936,830.50 and 1,947,258.67 is: 4,047,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,830.50 : 1,947,258.67 = 1,947,258.67 : x
  2. Step 2: Convert to fraction form
    936,830.50/1,947,258.67 = 1,947,258.67/x
  3. Step 3: Cross multiply
    936,830.50x = 1,947,258.67 × 1,947,258.67
  4. Step 4: Simplify right side
    936,830.50x = 3,791,816,319,979.63
  5. Step 5: Solve for x
    x = 3,791,816,319,979.63/936,830.50
  6. Step 6: Final answer
    x = 4,047,494.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.