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Finding the Third Proportional to 711,555.88 and 1,536,724.69

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Solution

The third proportional to 711,555.88 and 1,536,724.69 is: 3,318,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,555.88 : 1,536,724.69 = 1,536,724.69 : x
  2. Step 2: Convert to fraction form
    711,555.88/1,536,724.69 = 1,536,724.69/x
  3. Step 3: Cross multiply
    711,555.88x = 1,536,724.69 × 1,536,724.69
  4. Step 4: Simplify right side
    711,555.88x = 2,361,522,765,171.97
  5. Step 5: Solve for x
    x = 2,361,522,765,171.97/711,555.88
  6. Step 6: Final answer
    x = 3,318,815.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.