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Finding the Third Proportional to 4,839,472 and 7,428,406

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Solution

The third proportional to 4,839,472 and 7,428,406 is: 11,402,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839,472 : 7,428,406 = 7,428,406 : x
  2. Step 2: Convert to fraction form
    4,839,472/7,428,406 = 7,428,406/x
  3. Step 3: Cross multiply
    4,839,472x = 7,428,406 × 7,428,406
  4. Step 4: Simplify right side
    4,839,472x = 55,181,215,700,836
  5. Step 5: Solve for x
    x = 55,181,215,700,836/4,839,472
  6. Step 6: Final answer
    x = 11,402,321.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.