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Finding the Third Proportional to 687,786.75 and 1,618,331.63

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Solution

The third proportional to 687,786.75 and 1,618,331.63 is: 3,807,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,786.75 : 1,618,331.63 = 1,618,331.63 : x
  2. Step 2: Convert to fraction form
    687,786.75/1,618,331.63 = 1,618,331.63/x
  3. Step 3: Cross multiply
    687,786.75x = 1,618,331.63 × 1,618,331.63
  4. Step 4: Simplify right side
    687,786.75x = 2,618,997,248,475.14
  5. Step 5: Solve for x
    x = 2,618,997,248,475.14/687,786.75
  6. Step 6: Final answer
    x = 3,807,862.32

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.