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Finding the Third Proportional to 645,096 and 1,367,100

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Solution

The third proportional to 645,096 and 1,367,100 is: 2,897,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,096 : 1,367,100 = 1,367,100 : x
  2. Step 2: Convert to fraction form
    645,096/1,367,100 = 1,367,100/x
  3. Step 3: Cross multiply
    645,096x = 1,367,100 × 1,367,100
  4. Step 4: Simplify right side
    645,096x = 1,868,962,410,000
  5. Step 5: Solve for x
    x = 1,868,962,410,000/645,096
  6. Step 6: Final answer
    x = 2,897,184.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.