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Finding the Third Proportional to 710,978 and 1,521,601

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Solution

The third proportional to 710,978 and 1,521,601 is: 3,256,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,978 : 1,521,601 = 1,521,601 : x
  2. Step 2: Convert to fraction form
    710,978/1,521,601 = 1,521,601/x
  3. Step 3: Cross multiply
    710,978x = 1,521,601 × 1,521,601
  4. Step 4: Simplify right side
    710,978x = 2,315,269,603,201
  5. Step 5: Solve for x
    x = 2,315,269,603,201/710,978
  6. Step 6: Final answer
    x = 3,256,457.45

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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.