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Finding the Third Proportional to 505,376 and 1,099,840

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Solution

The third proportional to 505,376 and 1,099,840 is: 2,393,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,376 : 1,099,840 = 1,099,840 : x
  2. Step 2: Convert to fraction form
    505,376/1,099,840 = 1,099,840/x
  3. Step 3: Cross multiply
    505,376x = 1,099,840 × 1,099,840
  4. Step 4: Simplify right side
    505,376x = 1,209,648,025,600
  5. Step 5: Solve for x
    x = 1,209,648,025,600/505,376
  6. Step 6: Final answer
    x = 2,393,560.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.