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Finding the Third Proportional to 1,584,296 and 3,421,136

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Solution

The third proportional to 1,584,296 and 3,421,136 is: 7,387,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,296 : 3,421,136 = 3,421,136 : x
  2. Step 2: Convert to fraction form
    1,584,296/3,421,136 = 3,421,136/x
  3. Step 3: Cross multiply
    1,584,296x = 3,421,136 × 3,421,136
  4. Step 4: Simplify right side
    1,584,296x = 11,704,171,530,496
  5. Step 5: Solve for x
    x = 11,704,171,530,496/1,584,296
  6. Step 6: Final answer
    x = 7,387,616.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.