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Finding the Third Proportional to 2,430,424.50 and 5,234,799

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Solution

The third proportional to 2,430,424.50 and 5,234,799 is: 11,275,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430,424.50 : 5,234,799 = 5,234,799 : x
  2. Step 2: Convert to fraction form
    2,430,424.50/5,234,799 = 5,234,799/x
  3. Step 3: Cross multiply
    2,430,424.50x = 5,234,799 × 5,234,799
  4. Step 4: Simplify right side
    2,430,424.50x = 27,403,120,570,401
  5. Step 5: Solve for x
    x = 27,403,120,570,401/2,430,424.50
  6. Step 6: Final answer
    x = 11,275,034.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.