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Finding the Third Proportional to 4,374,776 and 6,848,892

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Solution

The third proportional to 4,374,776 and 6,848,892 is: 10,722,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374,776 : 6,848,892 = 6,848,892 : x
  2. Step 2: Convert to fraction form
    4,374,776/6,848,892 = 6,848,892/x
  3. Step 3: Cross multiply
    4,374,776x = 6,848,892 × 6,848,892
  4. Step 4: Simplify right side
    4,374,776x = 46,907,321,627,664
  5. Step 5: Solve for x
    x = 46,907,321,627,664/4,374,776
  6. Step 6: Final answer
    x = 10,722,222.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.