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Finding the Third Proportional to 527,015 and 1,133,947

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Solution

The third proportional to 527,015 and 1,133,947 is: 2,439,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,015 : 1,133,947 = 1,133,947 : x
  2. Step 2: Convert to fraction form
    527,015/1,133,947 = 1,133,947/x
  3. Step 3: Cross multiply
    527,015x = 1,133,947 × 1,133,947
  4. Step 4: Simplify right side
    527,015x = 1,285,835,798,809
  5. Step 5: Solve for x
    x = 1,285,835,798,809/527,015
  6. Step 6: Final answer
    x = 2,439,846.68

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