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Finding the Third Proportional to 1,189,838.25 and 1,812,641.63

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Solution

The third proportional to 1,189,838.25 and 1,812,641.63 is: 2,761,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,838.25 : 1,812,641.63 = 1,812,641.63 : x
  2. Step 2: Convert to fraction form
    1,189,838.25/1,812,641.63 = 1,812,641.63/x
  3. Step 3: Cross multiply
    1,189,838.25x = 1,812,641.63 × 1,812,641.63
  4. Step 4: Simplify right side
    1,189,838.25x = 3,285,669,660,682.64
  5. Step 5: Solve for x
    x = 3,285,669,660,682.64/1,189,838.25
  6. Step 6: Final answer
    x = 2,761,442.29

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Why These Related Problems?

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