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Finding the Third Proportional to 639,069.75 and 1,377,776.25

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Solution

The third proportional to 639,069.75 and 1,377,776.25 is: 2,970,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,069.75 : 1,377,776.25 = 1,377,776.25 : x
  2. Step 2: Convert to fraction form
    639,069.75/1,377,776.25 = 1,377,776.25/x
  3. Step 3: Cross multiply
    639,069.75x = 1,377,776.25 × 1,377,776.25
  4. Step 4: Simplify right side
    639,069.75x = 1,898,267,395,064.06
  5. Step 5: Solve for x
    x = 1,898,267,395,064.06/639,069.75
  6. Step 6: Final answer
    x = 2,970,360.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.