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Finding the Third Proportional to 1,224,296 and 2,645,314

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Solution

The third proportional to 1,224,296 and 2,645,314 is: 5,715,681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224,296 : 2,645,314 = 2,645,314 : x
  2. Step 2: Convert to fraction form
    1,224,296/2,645,314 = 2,645,314/x
  3. Step 3: Cross multiply
    1,224,296x = 2,645,314 × 2,645,314
  4. Step 4: Simplify right side
    1,224,296x = 6,997,686,158,596
  5. Step 5: Solve for x
    x = 6,997,686,158,596/1,224,296
  6. Step 6: Final answer
    x = 5,715,681.63

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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.