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Finding the Third Proportional to 4,233,066 and 6,388,965

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Solution

The third proportional to 4,233,066 and 6,388,965 is: 9,642,862.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233,066 : 6,388,965 = 6,388,965 : x
  2. Step 2: Convert to fraction form
    4,233,066/6,388,965 = 6,388,965/x
  3. Step 3: Cross multiply
    4,233,066x = 6,388,965 × 6,388,965
  4. Step 4: Simplify right side
    4,233,066x = 40,818,873,771,225
  5. Step 5: Solve for x
    x = 40,818,873,771,225/4,233,066
  6. Step 6: Final answer
    x = 9,642,862.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.