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Finding the Third Proportional to 757,666 and 1,150,323

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Solution

The third proportional to 757,666 and 1,150,323 is: 1,746,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,666 : 1,150,323 = 1,150,323 : x
  2. Step 2: Convert to fraction form
    757,666/1,150,323 = 1,150,323/x
  3. Step 3: Cross multiply
    757,666x = 1,150,323 × 1,150,323
  4. Step 4: Simplify right side
    757,666x = 1,323,243,004,329
  5. Step 5: Solve for x
    x = 1,323,243,004,329/757,666
  6. Step 6: Final answer
    x = 1,746,472.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.