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Finding the Third Proportional to 1,164,101.63 and 1,738,983.38

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Solution

The third proportional to 1,164,101.63 and 1,738,983.38 is: 2,597,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,101.63 : 1,738,983.38 = 1,738,983.38 : x
  2. Step 2: Convert to fraction form
    1,164,101.63/1,738,983.38 = 1,738,983.38/x
  3. Step 3: Cross multiply
    1,164,101.63x = 1,738,983.38 × 1,738,983.38
  4. Step 4: Simplify right side
    1,164,101.63x = 3,024,063,178,526.39
  5. Step 5: Solve for x
    x = 3,024,063,178,526.39/1,164,101.63
  6. Step 6: Final answer
    x = 2,597,765.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.