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Finding the Third Proportional to 2,430,380 and 5,626,427

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Solution

The third proportional to 2,430,380 and 5,626,427 is: 13,025,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430,380 : 5,626,427 = 5,626,427 : x
  2. Step 2: Convert to fraction form
    2,430,380/5,626,427 = 5,626,427/x
  3. Step 3: Cross multiply
    2,430,380x = 5,626,427 × 5,626,427
  4. Step 4: Simplify right side
    2,430,380x = 31,656,680,786,329
  5. Step 5: Solve for x
    x = 31,656,680,786,329/2,430,380
  6. Step 6: Final answer
    x = 13,025,403.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.