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Finding the Third Proportional to 581,092 and 1,265,112

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Solution

The third proportional to 581,092 and 1,265,112 is: 2,754,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,092 : 1,265,112 = 1,265,112 : x
  2. Step 2: Convert to fraction form
    581,092/1,265,112 = 1,265,112/x
  3. Step 3: Cross multiply
    581,092x = 1,265,112 × 1,265,112
  4. Step 4: Simplify right side
    581,092x = 1,600,508,372,544
  5. Step 5: Solve for x
    x = 1,600,508,372,544/581,092
  6. Step 6: Final answer
    x = 2,754,311.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.