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Finding the Third Proportional to 1,496,624 and 2,282,296

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Solution

The third proportional to 1,496,624 and 2,282,296 is: 3,480,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,624 : 2,282,296 = 2,282,296 : x
  2. Step 2: Convert to fraction form
    1,496,624/2,282,296 = 2,282,296/x
  3. Step 3: Cross multiply
    1,496,624x = 2,282,296 × 2,282,296
  4. Step 4: Simplify right side
    1,496,624x = 5,208,875,031,616
  5. Step 5: Solve for x
    x = 5,208,875,031,616/1,496,624
  6. Step 6: Final answer
    x = 3,480,416.61

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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.