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Finding the Third Proportional to 972,258 and 1,471,819.50

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Solution

The third proportional to 972,258 and 1,471,819.50 is: 2,228,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,258 : 1,471,819.50 = 1,471,819.50 : x
  2. Step 2: Convert to fraction form
    972,258/1,471,819.50 = 1,471,819.50/x
  3. Step 3: Cross multiply
    972,258x = 1,471,819.50 × 1,471,819.50
  4. Step 4: Simplify right side
    972,258x = 2,166,252,640,580.25
  5. Step 5: Solve for x
    x = 2,166,252,640,580.25/972,258
  6. Step 6: Final answer
    x = 2,228,063.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.