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Finding the Third Proportional to 657,240 and 1,399,224

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Solution

The third proportional to 657,240 and 1,399,224 is: 2,978,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,240 : 1,399,224 = 1,399,224 : x
  2. Step 2: Convert to fraction form
    657,240/1,399,224 = 1,399,224/x
  3. Step 3: Cross multiply
    657,240x = 1,399,224 × 1,399,224
  4. Step 4: Simplify right side
    657,240x = 1,957,827,802,176
  5. Step 5: Solve for x
    x = 1,957,827,802,176/657,240
  6. Step 6: Final answer
    x = 2,978,862.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.