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Finding the Third Proportional to 2,218,624 and 3,425,752

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Solution

The third proportional to 2,218,624 and 3,425,752 is: 5,289,664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218,624 : 3,425,752 = 3,425,752 : x
  2. Step 2: Convert to fraction form
    2,218,624/3,425,752 = 3,425,752/x
  3. Step 3: Cross multiply
    2,218,624x = 3,425,752 × 3,425,752
  4. Step 4: Simplify right side
    2,218,624x = 11,735,776,765,504
  5. Step 5: Solve for x
    x = 11,735,776,765,504/2,218,624
  6. Step 6: Final answer
    x = 5,289,664.57

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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.