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Finding the Third Proportional to 1,496,569 and 2,282,219

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Solution

The third proportional to 1,496,569 and 2,282,219 is: 3,480,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,569 : 2,282,219 = 2,282,219 : x
  2. Step 2: Convert to fraction form
    1,496,569/2,282,219 = 2,282,219/x
  3. Step 3: Cross multiply
    1,496,569x = 2,282,219 × 2,282,219
  4. Step 4: Simplify right side
    1,496,569x = 5,208,523,563,961
  5. Step 5: Solve for x
    x = 5,208,523,563,961/1,496,569
  6. Step 6: Final answer
    x = 3,480,309.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.