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Finding the Third Proportional to 2,134,638 and 4,623,570

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Solution

The third proportional to 2,134,638 and 4,623,570 is: 10,014,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,638 : 4,623,570 = 4,623,570 : x
  2. Step 2: Convert to fraction form
    2,134,638/4,623,570 = 4,623,570/x
  3. Step 3: Cross multiply
    2,134,638x = 4,623,570 × 4,623,570
  4. Step 4: Simplify right side
    2,134,638x = 21,377,399,544,900
  5. Step 5: Solve for x
    x = 21,377,399,544,900/2,134,638
  6. Step 6: Final answer
    x = 10,014,531.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.