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Finding the Third Proportional to 1,920,824 and 4,167,232

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Solution

The third proportional to 1,920,824 and 4,167,232 is: 9,040,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920,824 : 4,167,232 = 4,167,232 : x
  2. Step 2: Convert to fraction form
    1,920,824/4,167,232 = 4,167,232/x
  3. Step 3: Cross multiply
    1,920,824x = 4,167,232 × 4,167,232
  4. Step 4: Simplify right side
    1,920,824x = 17,365,822,541,824
  5. Step 5: Solve for x
    x = 17,365,822,541,824/1,920,824
  6. Step 6: Final answer
    x = 9,040,819.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.