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Finding the Third Proportional to 1,332,800 and 2,902,240

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Solution

The third proportional to 1,332,800 and 2,902,240 is: 6,319,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332,800 : 2,902,240 = 2,902,240 : x
  2. Step 2: Convert to fraction form
    1,332,800/2,902,240 = 2,902,240/x
  3. Step 3: Cross multiply
    1,332,800x = 2,902,240 × 2,902,240
  4. Step 4: Simplify right side
    1,332,800x = 8,422,997,017,600
  5. Step 5: Solve for x
    x = 8,422,997,017,600/1,332,800
  6. Step 6: Final answer
    x = 6,319,775.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.