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Finding the Third Proportional to 1,752,032 and 3,884,521

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Solution

The third proportional to 1,752,032 and 3,884,521 is: 8,612,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752,032 : 3,884,521 = 3,884,521 : x
  2. Step 2: Convert to fraction form
    1,752,032/3,884,521 = 3,884,521/x
  3. Step 3: Cross multiply
    1,752,032x = 3,884,521 × 3,884,521
  4. Step 4: Simplify right side
    1,752,032x = 15,089,503,399,441
  5. Step 5: Solve for x
    x = 15,089,503,399,441/1,752,032
  6. Step 6: Final answer
    x = 8,612,572.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.