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Finding the Third Proportional to 1,188,036 and 1,575,351

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Solution

The third proportional to 1,188,036 and 1,575,351 is: 2,088,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,036 : 1,575,351 = 1,575,351 : x
  2. Step 2: Convert to fraction form
    1,188,036/1,575,351 = 1,575,351/x
  3. Step 3: Cross multiply
    1,188,036x = 1,575,351 × 1,575,351
  4. Step 4: Simplify right side
    1,188,036x = 2,481,730,773,201
  5. Step 5: Solve for x
    x = 2,481,730,773,201/1,188,036
  6. Step 6: Final answer
    x = 2,088,935.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.