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Finding the Third Proportional to 900,048 and 1,957,920

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Solution

The third proportional to 900,048 and 1,957,920 is: 4,259,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,048 : 1,957,920 = 1,957,920 : x
  2. Step 2: Convert to fraction form
    900,048/1,957,920 = 1,957,920/x
  3. Step 3: Cross multiply
    900,048x = 1,957,920 × 1,957,920
  4. Step 4: Simplify right side
    900,048x = 3,833,450,726,400
  5. Step 5: Solve for x
    x = 3,833,450,726,400/900,048
  6. Step 6: Final answer
    x = 4,259,162.54

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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.