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Finding the Third Proportional to 657,649 and 1,413,199

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Solution

The third proportional to 657,649 and 1,413,199 is: 3,036,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,649 : 1,413,199 = 1,413,199 : x
  2. Step 2: Convert to fraction form
    657,649/1,413,199 = 1,413,199/x
  3. Step 3: Cross multiply
    657,649x = 1,413,199 × 1,413,199
  4. Step 4: Simplify right side
    657,649x = 1,997,131,413,601
  5. Step 5: Solve for x
    x = 1,997,131,413,601/657,649
  6. Step 6: Final answer
    x = 3,036,774.04

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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.