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Finding the Third Proportional to 1,923,420 and 4,104,276

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Solution

The third proportional to 1,923,420 and 4,104,276 is: 8,757,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923,420 : 4,104,276 = 4,104,276 : x
  2. Step 2: Convert to fraction form
    1,923,420/4,104,276 = 4,104,276/x
  3. Step 3: Cross multiply
    1,923,420x = 4,104,276 × 4,104,276
  4. Step 4: Simplify right side
    1,923,420x = 16,845,081,484,176
  5. Step 5: Solve for x
    x = 16,845,081,484,176/1,923,420
  6. Step 6: Final answer
    x = 8,757,879.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.