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Finding the Third Proportional to 757,568.16 and 1,635,309.66

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Solution

The third proportional to 757,568.16 and 1,635,309.66 is: 3,530,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,568.16 : 1,635,309.66 = 1,635,309.66 : x
  2. Step 2: Convert to fraction form
    757,568.16/1,635,309.66 = 1,635,309.66/x
  3. Step 3: Cross multiply
    757,568.16x = 1,635,309.66 × 1,635,309.66
  4. Step 4: Simplify right side
    757,568.16x = 2,674,237,671,824.49
  5. Step 5: Solve for x
    x = 2,674,237,671,824.49/757,568.16
  6. Step 6: Final answer
    x = 3,530,029.15

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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.