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Finding the Third Proportional to 741,823.50 and 1,156,071.75

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Solution

The third proportional to 741,823.50 and 1,156,071.75 is: 1,801,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,823.50 : 1,156,071.75 = 1,156,071.75 : x
  2. Step 2: Convert to fraction form
    741,823.50/1,156,071.75 = 1,156,071.75/x
  3. Step 3: Cross multiply
    741,823.50x = 1,156,071.75 × 1,156,071.75
  4. Step 4: Simplify right side
    741,823.50x = 1,336,501,891,148.06
  5. Step 5: Solve for x
    x = 1,336,501,891,148.06/741,823.50
  6. Step 6: Final answer
    x = 1,801,644.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.