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Finding the Third Proportional to 519,619 and 1,116,594

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Solution

The third proportional to 519,619 and 1,116,594 is: 2,399,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,619 : 1,116,594 = 1,116,594 : x
  2. Step 2: Convert to fraction form
    519,619/1,116,594 = 1,116,594/x
  3. Step 3: Cross multiply
    519,619x = 1,116,594 × 1,116,594
  4. Step 4: Simplify right side
    519,619x = 1,246,782,160,836
  5. Step 5: Solve for x
    x = 1,246,782,160,836/519,619
  6. Step 6: Final answer
    x = 2,399,416.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.