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Finding the Third Proportional to 4,408,384 and 6,809,010

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Solution

The third proportional to 4,408,384 and 6,809,010 is: 10,516,918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408,384 : 6,809,010 = 6,809,010 : x
  2. Step 2: Convert to fraction form
    4,408,384/6,809,010 = 6,809,010/x
  3. Step 3: Cross multiply
    4,408,384x = 6,809,010 × 6,809,010
  4. Step 4: Simplify right side
    4,408,384x = 46,362,617,180,100
  5. Step 5: Solve for x
    x = 46,362,617,180,100/4,408,384
  6. Step 6: Final answer
    x = 10,516,918.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.