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Finding the Third Proportional to 505,541 and 1,100,354

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Solution

The third proportional to 505,541 and 1,100,354 is: 2,395,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,541 : 1,100,354 = 1,100,354 : x
  2. Step 2: Convert to fraction form
    505,541/1,100,354 = 1,100,354/x
  3. Step 3: Cross multiply
    505,541x = 1,100,354 × 1,100,354
  4. Step 4: Simplify right side
    505,541x = 1,210,778,925,316
  5. Step 5: Solve for x
    x = 1,210,778,925,316/505,541
  6. Step 6: Final answer
    x = 2,395,016.28

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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.