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Finding the Third Proportional to 657,036.50 and 1,412,227

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Solution

The third proportional to 657,036.50 and 1,412,227 is: 3,035,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,036.50 : 1,412,227 = 1,412,227 : x
  2. Step 2: Convert to fraction form
    657,036.50/1,412,227 = 1,412,227/x
  3. Step 3: Cross multiply
    657,036.50x = 1,412,227 × 1,412,227
  4. Step 4: Simplify right side
    657,036.50x = 1,994,385,099,529
  5. Step 5: Solve for x
    x = 1,994,385,099,529/657,036.50
  6. Step 6: Final answer
    x = 3,035,425.12

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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.