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Finding the Third Proportional to 1,231,585.50 and 1,961,209.50

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Solution

The third proportional to 1,231,585.50 and 1,961,209.50 is: 3,123,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,585.50 : 1,961,209.50 = 1,961,209.50 : x
  2. Step 2: Convert to fraction form
    1,231,585.50/1,961,209.50 = 1,961,209.50/x
  3. Step 3: Cross multiply
    1,231,585.50x = 1,961,209.50 × 1,961,209.50
  4. Step 4: Simplify right side
    1,231,585.50x = 3,846,342,702,890.25
  5. Step 5: Solve for x
    x = 3,846,342,702,890.25/1,231,585.50
  6. Step 6: Final answer
    x = 3,123,082.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.