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Finding the Third Proportional to 749,632.75 and 1,151,518

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Solution

The third proportional to 749,632.75 and 1,151,518 is: 1,768,857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,632.75 : 1,151,518 = 1,151,518 : x
  2. Step 2: Convert to fraction form
    749,632.75/1,151,518 = 1,151,518/x
  3. Step 3: Cross multiply
    749,632.75x = 1,151,518 × 1,151,518
  4. Step 4: Simplify right side
    749,632.75x = 1,325,993,704,324
  5. Step 5: Solve for x
    x = 1,325,993,704,324/749,632.75
  6. Step 6: Final answer
    x = 1,768,857.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.