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Finding the Third Proportional to 4,896,920 and 7,600,836

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Solution

The third proportional to 4,896,920 and 7,600,836 is: 11,797,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896,920 : 7,600,836 = 7,600,836 : x
  2. Step 2: Convert to fraction form
    4,896,920/7,600,836 = 7,600,836/x
  3. Step 3: Cross multiply
    4,896,920x = 7,600,836 × 7,600,836
  4. Step 4: Simplify right side
    4,896,920x = 57,772,707,898,896
  5. Step 5: Solve for x
    x = 57,772,707,898,896/4,896,920
  6. Step 6: Final answer
    x = 11,797,764.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.