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Finding the Third Proportional to 657,647 and 1,413,197

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Solution

The third proportional to 657,647 and 1,413,197 is: 3,036,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,647 : 1,413,197 = 1,413,197 : x
  2. Step 2: Convert to fraction form
    657,647/1,413,197 = 1,413,197/x
  3. Step 3: Cross multiply
    657,647x = 1,413,197 × 1,413,197
  4. Step 4: Simplify right side
    657,647x = 1,997,125,760,809
  5. Step 5: Solve for x
    x = 1,997,125,760,809/657,647
  6. Step 6: Final answer
    x = 3,036,774.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.