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Finding the Third Proportional to 505,343 and 1,102,140

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Solution

The third proportional to 505,343 and 1,102,140 is: 2,403,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,343 : 1,102,140 = 1,102,140 : x
  2. Step 2: Convert to fraction form
    505,343/1,102,140 = 1,102,140/x
  3. Step 3: Cross multiply
    505,343x = 1,102,140 × 1,102,140
  4. Step 4: Simplify right side
    505,343x = 1,214,712,579,600
  5. Step 5: Solve for x
    x = 1,214,712,579,600/505,343
  6. Step 6: Final answer
    x = 2,403,738.81

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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.