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Finding the Third Proportional to 757,214 and 1,619,488

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Solution

The third proportional to 757,214 and 1,619,488 is: 3,463,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,214 : 1,619,488 = 1,619,488 : x
  2. Step 2: Convert to fraction form
    757,214/1,619,488 = 1,619,488/x
  3. Step 3: Cross multiply
    757,214x = 1,619,488 × 1,619,488
  4. Step 4: Simplify right side
    757,214x = 2,622,741,382,144
  5. Step 5: Solve for x
    x = 2,622,741,382,144/757,214
  6. Step 6: Final answer
    x = 3,463,672.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.