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Finding the Third Proportional to 746,574 and 1,149,080

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Solution

The third proportional to 746,574 and 1,149,080 is: 1,768,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,574 : 1,149,080 = 1,149,080 : x
  2. Step 2: Convert to fraction form
    746,574/1,149,080 = 1,149,080/x
  3. Step 3: Cross multiply
    746,574x = 1,149,080 × 1,149,080
  4. Step 4: Simplify right side
    746,574x = 1,320,384,846,400
  5. Step 5: Solve for x
    x = 1,320,384,846,400/746,574
  6. Step 6: Final answer
    x = 1,768,592.06

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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.