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Finding the Third Proportional to 736,082.44 and 1,079,823.66

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Solution

The third proportional to 736,082.44 and 1,079,823.66 is: 1,584,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,082.44 : 1,079,823.66 = 1,079,823.66 : x
  2. Step 2: Convert to fraction form
    736,082.44/1,079,823.66 = 1,079,823.66/x
  3. Step 3: Cross multiply
    736,082.44x = 1,079,823.66 × 1,079,823.66
  4. Step 4: Simplify right side
    736,082.44x = 1,166,019,128,597.12
  5. Step 5: Solve for x
    x = 1,166,019,128,597.12/736,082.44
  6. Step 6: Final answer
    x = 1,584,087.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.