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Finding the Third Proportional to 687,794.63 and 1,618,349.63

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Solution

The third proportional to 687,794.63 and 1,618,349.63 is: 3,807,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,794.63 : 1,618,349.63 = 1,618,349.63 : x
  2. Step 2: Convert to fraction form
    687,794.63/1,618,349.63 = 1,618,349.63/x
  3. Step 3: Cross multiply
    687,794.63x = 1,618,349.63 × 1,618,349.63
  4. Step 4: Simplify right side
    687,794.63x = 2,619,055,508,737.64
  5. Step 5: Solve for x
    x = 2,619,055,508,737.64/687,794.63
  6. Step 6: Final answer
    x = 3,807,903.43

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Why These Related Problems?

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