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Finding the Third Proportional to 1,727,922 and 2,432,232

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Solution

The third proportional to 1,727,922 and 2,432,232 is: 3,423,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,922 : 2,432,232 = 2,432,232 : x
  2. Step 2: Convert to fraction form
    1,727,922/2,432,232 = 2,432,232/x
  3. Step 3: Cross multiply
    1,727,922x = 2,432,232 × 2,432,232
  4. Step 4: Simplify right side
    1,727,922x = 5,915,752,501,824
  5. Step 5: Solve for x
    x = 5,915,752,501,824/1,727,922
  6. Step 6: Final answer
    x = 3,423,622.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.