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Finding the Third Proportional to 1,704,405 and 3,729,509.50

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Solution

The third proportional to 1,704,405 and 3,729,509.50 is: 8,160,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,405 : 3,729,509.50 = 3,729,509.50 : x
  2. Step 2: Convert to fraction form
    1,704,405/3,729,509.50 = 3,729,509.50/x
  3. Step 3: Cross multiply
    1,704,405x = 3,729,509.50 × 3,729,509.50
  4. Step 4: Simplify right side
    1,704,405x = 13,909,241,110,590.25
  5. Step 5: Solve for x
    x = 13,909,241,110,590.25/1,704,405
  6. Step 6: Final answer
    x = 8,160,760.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.