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Finding the Third Proportional to 657,960 and 1,434,910

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Solution

The third proportional to 657,960 and 1,434,910 is: 3,129,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,960 : 1,434,910 = 1,434,910 : x
  2. Step 2: Convert to fraction form
    657,960/1,434,910 = 1,434,910/x
  3. Step 3: Cross multiply
    657,960x = 1,434,910 × 1,434,910
  4. Step 4: Simplify right side
    657,960x = 2,058,966,708,100
  5. Step 5: Solve for x
    x = 2,058,966,708,100/657,960
  6. Step 6: Final answer
    x = 3,129,318.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.