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Finding the Third Proportional to 2,285,837 and 3,113,416.50

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Solution

The third proportional to 2,285,837 and 3,113,416.50 is: 4,240,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,837 : 3,113,416.50 = 3,113,416.50 : x
  2. Step 2: Convert to fraction form
    2,285,837/3,113,416.50 = 3,113,416.50/x
  3. Step 3: Cross multiply
    2,285,837x = 3,113,416.50 × 3,113,416.50
  4. Step 4: Simplify right side
    2,285,837x = 9,693,362,302,472.25
  5. Step 5: Solve for x
    x = 9,693,362,302,472.25/2,285,837
  6. Step 6: Final answer
    x = 4,240,618.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.