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Finding the Third Proportional to 2,409,710 and 3,212,586

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Solution

The third proportional to 2,409,710 and 3,212,586 is: 4,282,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,710 : 3,212,586 = 3,212,586 : x
  2. Step 2: Convert to fraction form
    2,409,710/3,212,586 = 3,212,586/x
  3. Step 3: Cross multiply
    2,409,710x = 3,212,586 × 3,212,586
  4. Step 4: Simplify right side
    2,409,710x = 10,320,708,807,396
  5. Step 5: Solve for x
    x = 10,320,708,807,396/2,409,710
  6. Step 6: Final answer
    x = 4,282,967.17

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.