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Finding the Third Proportional to 521,346.38 and 1,142,343

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Solution

The third proportional to 521,346.38 and 1,142,343 is: 2,503,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,346.38 : 1,142,343 = 1,142,343 : x
  2. Step 2: Convert to fraction form
    521,346.38/1,142,343 = 1,142,343/x
  3. Step 3: Cross multiply
    521,346.38x = 1,142,343 × 1,142,343
  4. Step 4: Simplify right side
    521,346.38x = 1,304,947,529,649
  5. Step 5: Solve for x
    x = 1,304,947,529,649/521,346.38
  6. Step 6: Final answer
    x = 2,503,033.67

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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.