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Finding the Third Proportional to 667,323.56 and 1,574,624.81

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Solution

The third proportional to 667,323.56 and 1,574,624.81 is: 3,715,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,323.56 : 1,574,624.81 = 1,574,624.81 : x
  2. Step 2: Convert to fraction form
    667,323.56/1,574,624.81 = 1,574,624.81/x
  3. Step 3: Cross multiply
    667,323.56x = 1,574,624.81 × 1,574,624.81
  4. Step 4: Simplify right side
    667,323.56x = 2,479,443,300,140.66
  5. Step 5: Solve for x
    x = 2,479,443,300,140.66/667,323.56
  6. Step 6: Final answer
    x = 3,715,503.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.