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Finding the Third Proportional to 782,404.95 and 1,668,157.03

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Solution

The third proportional to 782,404.95 and 1,668,157.03 is: 3,556,659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,404.95 : 1,668,157.03 = 1,668,157.03 : x
  2. Step 2: Convert to fraction form
    782,404.95/1,668,157.03 = 1,668,157.03/x
  3. Step 3: Cross multiply
    782,404.95x = 1,668,157.03 × 1,668,157.03
  4. Step 4: Simplify right side
    782,404.95x = 2,782,747,880,908.81
  5. Step 5: Solve for x
    x = 2,782,747,880,908.81/782,404.95
  6. Step 6: Final answer
    x = 3,556,659.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.