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Finding the Third Proportional to 2,288,169 and 3,461,777

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Solution

The third proportional to 2,288,169 and 3,461,777 is: 5,237,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288,169 : 3,461,777 = 3,461,777 : x
  2. Step 2: Convert to fraction form
    2,288,169/3,461,777 = 3,461,777/x
  3. Step 3: Cross multiply
    2,288,169x = 3,461,777 × 3,461,777
  4. Step 4: Simplify right side
    2,288,169x = 11,983,899,997,729
  5. Step 5: Solve for x
    x = 11,983,899,997,729/2,288,169
  6. Step 6: Final answer
    x = 5,237,331.68

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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.