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Finding the Third Proportional to 1,043,104.50 and 2,414,799

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Solution

The third proportional to 1,043,104.50 and 2,414,799 is: 5,590,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,104.50 : 2,414,799 = 2,414,799 : x
  2. Step 2: Convert to fraction form
    1,043,104.50/2,414,799 = 2,414,799/x
  3. Step 3: Cross multiply
    1,043,104.50x = 2,414,799 × 2,414,799
  4. Step 4: Simplify right side
    1,043,104.50x = 5,831,254,210,401
  5. Step 5: Solve for x
    x = 5,831,254,210,401/1,043,104.50
  6. Step 6: Final answer
    x = 5,590,287.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.