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Finding the Third Proportional to 1,065,728 and 1,605,632

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Solution

The third proportional to 1,065,728 and 1,605,632 is: 2,419,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,728 : 1,605,632 = 1,605,632 : x
  2. Step 2: Convert to fraction form
    1,065,728/1,605,632 = 1,605,632/x
  3. Step 3: Cross multiply
    1,065,728x = 1,605,632 × 1,605,632
  4. Step 4: Simplify right side
    1,065,728x = 2,578,054,119,424
  5. Step 5: Solve for x
    x = 2,578,054,119,424/1,065,728
  6. Step 6: Final answer
    x = 2,419,054.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.