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Finding the Third Proportional to 619,832.25 and 1,312,929

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Solution

The third proportional to 619,832.25 and 1,312,929 is: 2,781,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,832.25 : 1,312,929 = 1,312,929 : x
  2. Step 2: Convert to fraction form
    619,832.25/1,312,929 = 1,312,929/x
  3. Step 3: Cross multiply
    619,832.25x = 1,312,929 × 1,312,929
  4. Step 4: Simplify right side
    619,832.25x = 1,723,782,559,041
  5. Step 5: Solve for x
    x = 1,723,782,559,041/619,832.25
  6. Step 6: Final answer
    x = 2,781,046.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.