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Finding the Third Proportional to 2,873,281.50 and 4,302,009

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Solution

The third proportional to 2,873,281.50 and 4,302,009 is: 6,441,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873,281.50 : 4,302,009 = 4,302,009 : x
  2. Step 2: Convert to fraction form
    2,873,281.50/4,302,009 = 4,302,009/x
  3. Step 3: Cross multiply
    2,873,281.50x = 4,302,009 × 4,302,009
  4. Step 4: Simplify right side
    2,873,281.50x = 18,507,281,436,081
  5. Step 5: Solve for x
    x = 18,507,281,436,081/2,873,281.50
  6. Step 6: Final answer
    x = 6,441,165.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.