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Finding the Third Proportional to 1,747,225 and 3,737,343

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Solution

The third proportional to 1,747,225 and 3,737,343 is: 7,994,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,225 : 3,737,343 = 3,737,343 : x
  2. Step 2: Convert to fraction form
    1,747,225/3,737,343 = 3,737,343/x
  3. Step 3: Cross multiply
    1,747,225x = 3,737,343 × 3,737,343
  4. Step 4: Simplify right side
    1,747,225x = 13,967,732,699,649
  5. Step 5: Solve for x
    x = 13,967,732,699,649/1,747,225
  6. Step 6: Final answer
    x = 7,994,238.12

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.