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Finding the Third Proportional to 843,264 and 1,842,176

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Solution

The third proportional to 843,264 and 1,842,176 is: 4,024,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,264 : 1,842,176 = 1,842,176 : x
  2. Step 2: Convert to fraction form
    843,264/1,842,176 = 1,842,176/x
  3. Step 3: Cross multiply
    843,264x = 1,842,176 × 1,842,176
  4. Step 4: Simplify right side
    843,264x = 3,393,612,414,976
  5. Step 5: Solve for x
    x = 3,393,612,414,976/843,264
  6. Step 6: Final answer
    x = 4,024,377.20

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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.