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Finding the Third Proportional to 4,761,438.75 and 6,806,178

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Solution

The third proportional to 4,761,438.75 and 6,806,178 is: 9,729,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761,438.75 : 6,806,178 = 6,806,178 : x
  2. Step 2: Convert to fraction form
    4,761,438.75/6,806,178 = 6,806,178/x
  3. Step 3: Cross multiply
    4,761,438.75x = 6,806,178 × 6,806,178
  4. Step 4: Simplify right side
    4,761,438.75x = 46,324,058,967,684
  5. Step 5: Solve for x
    x = 46,324,058,967,684/4,761,438.75
  6. Step 6: Final answer
    x = 9,729,004.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.