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Finding the Third Proportional to 1,466,781.75 and 2,269,242

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Solution

The third proportional to 1,466,781.75 and 2,269,242 is: 3,510,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,781.75 : 2,269,242 = 2,269,242 : x
  2. Step 2: Convert to fraction form
    1,466,781.75/2,269,242 = 2,269,242/x
  3. Step 3: Cross multiply
    1,466,781.75x = 2,269,242 × 2,269,242
  4. Step 4: Simplify right side
    1,466,781.75x = 5,149,459,254,564
  5. Step 5: Solve for x
    x = 5,149,459,254,564/1,466,781.75
  6. Step 6: Final answer
    x = 3,510,719.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.