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Finding the Third Proportional to 3,115,992 and 4,929,826.50

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Solution

The third proportional to 3,115,992 and 4,929,826.50 is: 7,799,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115,992 : 4,929,826.50 = 4,929,826.50 : x
  2. Step 2: Convert to fraction form
    3,115,992/4,929,826.50 = 4,929,826.50/x
  3. Step 3: Cross multiply
    3,115,992x = 4,929,826.50 × 4,929,826.50
  4. Step 4: Simplify right side
    3,115,992x = 24,303,189,320,102.25
  5. Step 5: Solve for x
    x = 24,303,189,320,102.25/3,115,992
  6. Step 6: Final answer
    x = 7,799,503.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.