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Finding the Third Proportional to 657,058 and 1,425,653

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Solution

The third proportional to 657,058 and 1,425,653 is: 3,093,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,058 : 1,425,653 = 1,425,653 : x
  2. Step 2: Convert to fraction form
    657,058/1,425,653 = 1,425,653/x
  3. Step 3: Cross multiply
    657,058x = 1,425,653 × 1,425,653
  4. Step 4: Simplify right side
    657,058x = 2,032,486,476,409
  5. Step 5: Solve for x
    x = 2,032,486,476,409/657,058
  6. Step 6: Final answer
    x = 3,093,313.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.