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Finding the Third Proportional to 711,554.94 and 1,536,722.75

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Solution

The third proportional to 711,554.94 and 1,536,722.75 is: 3,318,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,554.94 : 1,536,722.75 = 1,536,722.75 : x
  2. Step 2: Convert to fraction form
    711,554.94/1,536,722.75 = 1,536,722.75/x
  3. Step 3: Cross multiply
    711,554.94x = 1,536,722.75 × 1,536,722.75
  4. Step 4: Simplify right side
    711,554.94x = 2,361,516,810,367.56
  5. Step 5: Solve for x
    x = 2,361,516,810,367.56/711,554.94
  6. Step 6: Final answer
    x = 3,318,811.64

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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.