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Finding the Third Proportional to 749,560.08 and 1,096,336.27

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Solution

The third proportional to 749,560.08 and 1,096,336.27 is: 1,603,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,560.08 : 1,096,336.27 = 1,096,336.27 : x
  2. Step 2: Convert to fraction form
    749,560.08/1,096,336.27 = 1,096,336.27/x
  3. Step 3: Cross multiply
    749,560.08x = 1,096,336.27 × 1,096,336.27
  4. Step 4: Simplify right side
    749,560.08x = 1,201,953,207,324.57
  5. Step 5: Solve for x
    x = 1,201,953,207,324.57/749,560.08
  6. Step 6: Final answer
    x = 1,603,544.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.