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Finding the Third Proportional to 2,045,264 and 3,208,584

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Solution

The third proportional to 2,045,264 and 3,208,584 is: 5,033,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045,264 : 3,208,584 = 3,208,584 : x
  2. Step 2: Convert to fraction form
    2,045,264/3,208,584 = 3,208,584/x
  3. Step 3: Cross multiply
    2,045,264x = 3,208,584 × 3,208,584
  4. Step 4: Simplify right side
    2,045,264x = 10,295,011,285,056
  5. Step 5: Solve for x
    x = 10,295,011,285,056/2,045,264
  6. Step 6: Final answer
    x = 5,033,585.53

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.