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Finding the Third Proportional to 1,747,272 and 3,737,430

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Solution

The third proportional to 1,747,272 and 3,737,430 is: 7,994,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,272 : 3,737,430 = 3,737,430 : x
  2. Step 2: Convert to fraction form
    1,747,272/3,737,430 = 3,737,430/x
  3. Step 3: Cross multiply
    1,747,272x = 3,737,430 × 3,737,430
  4. Step 4: Simplify right side
    1,747,272x = 13,968,383,004,900
  5. Step 5: Solve for x
    x = 13,968,383,004,900/1,747,272
  6. Step 6: Final answer
    x = 7,994,395.27

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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.