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Finding the Third Proportional to 657,196.03 and 1,364,328.56

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Solution

The third proportional to 657,196.03 and 1,364,328.56 is: 2,832,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,196.03 : 1,364,328.56 = 1,364,328.56 : x
  2. Step 2: Convert to fraction form
    657,196.03/1,364,328.56 = 1,364,328.56/x
  3. Step 3: Cross multiply
    657,196.03x = 1,364,328.56 × 1,364,328.56
  4. Step 4: Simplify right side
    657,196.03x = 1,861,392,426,453.32
  5. Step 5: Solve for x
    x = 1,861,392,426,453.32/657,196.03
  6. Step 6: Final answer
    x = 2,832,324.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.