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Finding the Third Proportional to 4,789,378 and 7,233,827

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Solution

The third proportional to 4,789,378 and 7,233,827 is: 10,925,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789,378 : 7,233,827 = 7,233,827 : x
  2. Step 2: Convert to fraction form
    4,789,378/7,233,827 = 7,233,827/x
  3. Step 3: Cross multiply
    4,789,378x = 7,233,827 × 7,233,827
  4. Step 4: Simplify right side
    4,789,378x = 52,328,253,065,929
  5. Step 5: Solve for x
    x = 52,328,253,065,929/4,789,378
  6. Step 6: Final answer
    x = 10,925,897.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.