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Finding the Third Proportional to 1,831,753.13 and 2,802,025.69

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Solution

The third proportional to 1,831,753.13 and 2,802,025.69 is: 4,286,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,753.13 : 2,802,025.69 = 2,802,025.69 : x
  2. Step 2: Convert to fraction form
    1,831,753.13/2,802,025.69 = 2,802,025.69/x
  3. Step 3: Cross multiply
    1,831,753.13x = 2,802,025.69 × 2,802,025.69
  4. Step 4: Simplify right side
    1,831,753.13x = 7,851,347,953,409.85
  5. Step 5: Solve for x
    x = 7,851,347,953,409.85/1,831,753.13
  6. Step 6: Final answer
    x = 4,286,247.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.