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Finding the Third Proportional to 608,542.88 and 1,301,509.27

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Solution

The third proportional to 608,542.88 and 1,301,509.27 is: 2,783,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,542.88 : 1,301,509.27 = 1,301,509.27 : x
  2. Step 2: Convert to fraction form
    608,542.88/1,301,509.27 = 1,301,509.27/x
  3. Step 3: Cross multiply
    608,542.88x = 1,301,509.27 × 1,301,509.27
  4. Step 4: Simplify right side
    608,542.88x = 1,693,926,368,507.73
  5. Step 5: Solve for x
    x = 1,693,926,368,507.73/608,542.88
  6. Step 6: Final answer
    x = 2,783,577.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.