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Finding the Third Proportional to 985,945.50 and 1,474,977.94

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Solution

The third proportional to 985,945.50 and 1,474,977.94 is: 2,206,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,945.50 : 1,474,977.94 = 1,474,977.94 : x
  2. Step 2: Convert to fraction form
    985,945.50/1,474,977.94 = 1,474,977.94/x
  3. Step 3: Cross multiply
    985,945.50x = 1,474,977.94 × 1,474,977.94
  4. Step 4: Simplify right side
    985,945.50x = 2,175,559,916,111.75
  5. Step 5: Solve for x
    x = 2,175,559,916,111.75/985,945.50
  6. Step 6: Final answer
    x = 2,206,572.18

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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.