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Finding the Third Proportional to 1,530,450 and 2,287,678.50

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Solution

The third proportional to 1,530,450 and 2,287,678.50 is: 3,419,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,450 : 2,287,678.50 = 2,287,678.50 : x
  2. Step 2: Convert to fraction form
    1,530,450/2,287,678.50 = 2,287,678.50/x
  3. Step 3: Cross multiply
    1,530,450x = 2,287,678.50 × 2,287,678.50
  4. Step 4: Simplify right side
    1,530,450x = 5,233,472,919,362.25
  5. Step 5: Solve for x
    x = 5,233,472,919,362.25/1,530,450
  6. Step 6: Final answer
    x = 3,419,564.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.