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Finding the Third Proportional to 612,694.13 and 1,416,082.50

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Solution

The third proportional to 612,694.13 and 1,416,082.50 is: 3,272,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,694.13 : 1,416,082.50 = 1,416,082.50 : x
  2. Step 2: Convert to fraction form
    612,694.13/1,416,082.50 = 1,416,082.50/x
  3. Step 3: Cross multiply
    612,694.13x = 1,416,082.50 × 1,416,082.50
  4. Step 4: Simplify right side
    612,694.13x = 2,005,289,646,806.25
  5. Step 5: Solve for x
    x = 2,005,289,646,806.25/612,694.13
  6. Step 6: Final answer
    x = 3,272,904.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.