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Finding the Third Proportional to 657,135 and 1,425,816

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Solution

The third proportional to 657,135 and 1,425,816 is: 3,093,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,135 : 1,425,816 = 1,425,816 : x
  2. Step 2: Convert to fraction form
    657,135/1,425,816 = 1,425,816/x
  3. Step 3: Cross multiply
    657,135x = 1,425,816 × 1,425,816
  4. Step 4: Simplify right side
    657,135x = 2,032,951,265,856
  5. Step 5: Solve for x
    x = 2,032,951,265,856/657,135
  6. Step 6: Final answer
    x = 3,093,658.48

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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.