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Finding the Third Proportional to 2,354,380 and 5,029,924

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Solution

The third proportional to 2,354,380 and 5,029,924 is: 10,745,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354,380 : 5,029,924 = 5,029,924 : x
  2. Step 2: Convert to fraction form
    2,354,380/5,029,924 = 5,029,924/x
  3. Step 3: Cross multiply
    2,354,380x = 5,029,924 × 5,029,924
  4. Step 4: Simplify right side
    2,354,380x = 25,300,135,445,776
  5. Step 5: Solve for x
    x = 25,300,135,445,776/2,354,380
  6. Step 6: Final answer
    x = 10,745,986.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.