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Finding the Third Proportional to 4,761,890 and 7,185,771

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Solution

The third proportional to 4,761,890 and 7,185,771 is: 10,843,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761,890 : 7,185,771 = 7,185,771 : x
  2. Step 2: Convert to fraction form
    4,761,890/7,185,771 = 7,185,771/x
  3. Step 3: Cross multiply
    4,761,890x = 7,185,771 × 7,185,771
  4. Step 4: Simplify right side
    4,761,890x = 51,635,304,864,441
  5. Step 5: Solve for x
    x = 51,635,304,864,441/4,761,890
  6. Step 6: Final answer
    x = 10,843,447.64

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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.