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Finding the Third Proportional to 406,903.50 and 883,860.75

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Solution

The third proportional to 406,903.50 and 883,860.75 is: 1,919,889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,903.50 : 883,860.75 = 883,860.75 : x
  2. Step 2: Convert to fraction form
    406,903.50/883,860.75 = 883,860.75/x
  3. Step 3: Cross multiply
    406,903.50x = 883,860.75 × 883,860.75
  4. Step 4: Simplify right side
    406,903.50x = 781,209,825,390.56
  5. Step 5: Solve for x
    x = 781,209,825,390.56/406,903.50
  6. Step 6: Final answer
    x = 1,919,889.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.