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Finding the Third Proportional to 1,034,390 and 1,614,449.50

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Solution

The third proportional to 1,034,390 and 1,614,449.50 is: 2,519,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,390 : 1,614,449.50 = 1,614,449.50 : x
  2. Step 2: Convert to fraction form
    1,034,390/1,614,449.50 = 1,614,449.50/x
  3. Step 3: Cross multiply
    1,034,390x = 1,614,449.50 × 1,614,449.50
  4. Step 4: Simplify right side
    1,034,390x = 2,606,447,188,050.25
  5. Step 5: Solve for x
    x = 2,606,447,188,050.25/1,034,390
  6. Step 6: Final answer
    x = 2,519,791.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.