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Finding the Third Proportional to 4,680,470 and 6,571,824

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Solution

The third proportional to 4,680,470 and 6,571,824 is: 9,227,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680,470 : 6,571,824 = 6,571,824 : x
  2. Step 2: Convert to fraction form
    4,680,470/6,571,824 = 6,571,824/x
  3. Step 3: Cross multiply
    4,680,470x = 6,571,824 × 6,571,824
  4. Step 4: Simplify right side
    4,680,470x = 43,188,870,686,976
  5. Step 5: Solve for x
    x = 43,188,870,686,976/4,680,470
  6. Step 6: Final answer
    x = 9,227,464.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.