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Finding the Third Proportional to 3,029,883 and 4,823,472

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Solution

The third proportional to 3,029,883 and 4,823,472 is: 7,678,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,883 : 4,823,472 = 4,823,472 : x
  2. Step 2: Convert to fraction form
    3,029,883/4,823,472 = 4,823,472/x
  3. Step 3: Cross multiply
    3,029,883x = 4,823,472 × 4,823,472
  4. Step 4: Simplify right side
    3,029,883x = 23,265,882,134,784
  5. Step 5: Solve for x
    x = 23,265,882,134,784/3,029,883
  6. Step 6: Final answer
    x = 7,678,805.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.