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Finding the Third Proportional to 1,153,440.38 and 2,524,102.88

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Solution

The third proportional to 1,153,440.38 and 2,524,102.88 is: 5,523,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,440.38 : 2,524,102.88 = 2,524,102.88 : x
  2. Step 2: Convert to fraction form
    1,153,440.38/2,524,102.88 = 2,524,102.88/x
  3. Step 3: Cross multiply
    1,153,440.38x = 2,524,102.88 × 2,524,102.88
  4. Step 4: Simplify right side
    1,153,440.38x = 6,371,095,323,583.27
  5. Step 5: Solve for x
    x = 6,371,095,323,583.27/1,153,440.38
  6. Step 6: Final answer
    x = 5,523,558.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.