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Finding the Third Proportional to 657,232 and 1,345,608

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Solution

The third proportional to 657,232 and 1,345,608 is: 2,754,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,232 : 1,345,608 = 1,345,608 : x
  2. Step 2: Convert to fraction form
    657,232/1,345,608 = 1,345,608/x
  3. Step 3: Cross multiply
    657,232x = 1,345,608 × 1,345,608
  4. Step 4: Simplify right side
    657,232x = 1,810,660,889,664
  5. Step 5: Solve for x
    x = 1,810,660,889,664/657,232
  6. Step 6: Final answer
    x = 2,754,979.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.