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Finding the Third Proportional to 757,074 and 1,163,674.13

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Solution

The third proportional to 757,074 and 1,163,674.13 is: 1,788,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,074 : 1,163,674.13 = 1,163,674.13 : x
  2. Step 2: Convert to fraction form
    757,074/1,163,674.13 = 1,163,674.13/x
  3. Step 3: Cross multiply
    757,074x = 1,163,674.13 × 1,163,674.13
  4. Step 4: Simplify right side
    757,074x = 1,354,137,469,194.52
  5. Step 5: Solve for x
    x = 1,354,137,469,194.52/757,074
  6. Step 6: Final answer
    x = 1,788,646.12

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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.