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Finding the Third Proportional to 757,573 and 1,635,326

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Solution

The third proportional to 757,573 and 1,635,326 is: 3,530,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,573 : 1,635,326 = 1,635,326 : x
  2. Step 2: Convert to fraction form
    757,573/1,635,326 = 1,635,326/x
  3. Step 3: Cross multiply
    757,573x = 1,635,326 × 1,635,326
  4. Step 4: Simplify right side
    757,573x = 2,674,291,126,276
  5. Step 5: Solve for x
    x = 2,674,291,126,276/757,573
  6. Step 6: Final answer
    x = 3,530,077.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.