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Finding the Third Proportional to 658,458 and 1,436,568.75

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Solution

The third proportional to 658,458 and 1,436,568.75 is: 3,134,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,458 : 1,436,568.75 = 1,436,568.75 : x
  2. Step 2: Convert to fraction form
    658,458/1,436,568.75 = 1,436,568.75/x
  3. Step 3: Cross multiply
    658,458x = 1,436,568.75 × 1,436,568.75
  4. Step 4: Simplify right side
    658,458x = 2,063,729,773,476.56
  5. Step 5: Solve for x
    x = 2,063,729,773,476.56/658,458
  6. Step 6: Final answer
    x = 3,134,185.89

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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.