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Finding the Third Proportional to 516,255.47 and 1,107,243.56

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Solution

The third proportional to 516,255.47 and 1,107,243.56 is: 2,374,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,255.47 : 1,107,243.56 = 1,107,243.56 : x
  2. Step 2: Convert to fraction form
    516,255.47/1,107,243.56 = 1,107,243.56/x
  3. Step 3: Cross multiply
    516,255.47x = 1,107,243.56 × 1,107,243.56
  4. Step 4: Simplify right side
    516,255.47x = 1,225,988,306,697.69
  5. Step 5: Solve for x
    x = 1,225,988,306,697.69/516,255.47
  6. Step 6: Final answer
    x = 2,374,770.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.