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Finding the Third Proportional to 505,604 and 1,092,296

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Solution

The third proportional to 505,604 and 1,092,296 is: 2,359,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,604 : 1,092,296 = 1,092,296 : x
  2. Step 2: Convert to fraction form
    505,604/1,092,296 = 1,092,296/x
  3. Step 3: Cross multiply
    505,604x = 1,092,296 × 1,092,296
  4. Step 4: Simplify right side
    505,604x = 1,193,110,551,616
  5. Step 5: Solve for x
    x = 1,193,110,551,616/505,604
  6. Step 6: Final answer
    x = 2,359,772.77

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Why These Related Problems?

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