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Finding the Third Proportional to 1,056,026.25 and 2,271,258

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Solution

The third proportional to 1,056,026.25 and 2,271,258 is: 4,884,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,026.25 : 2,271,258 = 2,271,258 : x
  2. Step 2: Convert to fraction form
    1,056,026.25/2,271,258 = 2,271,258/x
  3. Step 3: Cross multiply
    1,056,026.25x = 2,271,258 × 2,271,258
  4. Step 4: Simplify right side
    1,056,026.25x = 5,158,612,902,564
  5. Step 5: Solve for x
    x = 5,158,612,902,564/1,056,026.25
  6. Step 6: Final answer
    x = 4,884,928.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.